Search Results - "$h$-convex functions"

Inequalities of Hermite-Hadamard Type for h-Convex Functions on Linear Spaces

Authors: Dragomir, Sever S

Source: Proyecciones (Antofagasta), Volume: 34, Issue: 4, Pages: 323-341, Published: DEC 2015

Subject Terms: convex functions, Hermite-Hadamard inequality, h-Convex functions, Convex functions, 0102 Applied Mathematics, College of Science and Engineering, integral inequalities, Integral inequalities, 10. No inequality

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Access URL: https://scielo.conicyt.cl/pdf/proy/v34n4/art02.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=6953132
https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000400002
http://ajmaa.org/RGMIA/papers/v16/v16a72.pdf
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000400002
https://vuir.vu.edu.au/31297/
http://rgmia.org/papers/v16/v16a72.pdf
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000400002&lng=en&tlng=en

An investigation into multiplicative fractional Weddle’s inequalities

Authors: Bouharket Benaissa Noureddine Azzouz Hüseyin Budak

Source: Boundary Value Problems, Vol 2025, Iss 1, Pp 1-22 (2025)

Subject Terms: Boole inequalities, Multiplicative fractional integrals, Multiplicative absolute value, Multiplicative h-convex functions, Analysis, QA299.6-433

File Description: electronic resource

Relation: https://doaj.org/toc/1687-2770

Access URL: https://doaj.org/article/a1218edb315245228a82f9855f4ea1d7

Investigations into Hermite-Hadamard-Fejér Inequalities within the Realm of Trigonometric Convexity

Authors: Sercan Turhan Ercihan Güngör İmdat İşcan

Source: Communications in Advanced Mathematical Sciences, Vol 8, Iss 1, Pp 36-48 (2025)
Volume: 8, Issue: 136-48
Communications in Advanced Mathematical Sciences

Subject Terms: $h$-convex functions, hermite-hadamard-fejer type inequality, trigonometrically convex function, Temel Matematik (Diğer), QA1-939, Hermite-Hadamard-Fejer type inequality, Trigonometrically convex function, Pure Mathematics (Other), Mathematics

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Access URL: https://doaj.org/article/841582e92c4f4ac9a1a1a59f33d828c6
https://dergipark.org.tr/tr/pub/cams/issue/90375/1637281

Trapezoid-type Inequalities Based on Generalized Conformable Integrals via Co-ordinated $h$-Convex Mappings

Authors: Mehmet Eyüp Kiriş Murat Yücel Ay Gözde Bayrak

Source: Volume: 7, Issue: 4236-252
Fundamental Journal of Mathematics and Applications

Subject Terms: Trapezoid-type inequalities, Convex functions, $h$-convex function, Co-ordinated $h$-convex functions, Fractional integrals, Riemann-Liouville fractional integrals, Conformable fractional integrals, Operator Algebras and Functional Analysis, 0101 mathematics, 01 natural sciences, Operatör Cebirleri ve Fonksiyonel Analiz

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Access URL: https://dergipark.org.tr/tr/pub/fujma/issue/89397/1578534

New integral inequalities in the class of functions (h, m)-convex

Authors: J. E. Napoles P. M. Guzman B. Bayraktar

Source: Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, Vol 24, Iss 2, Pp 173-183 (2024)

Subject Terms: convex functions, simpson's type inequality, hermite – hadamard inequality, QA1-939, weighted integrals, (m/h)-convex functions, holder inequality, Mathematics

Access URL: https://doaj.org/article/acbcf25a65ed40429d8c15167ef87674

NEW GENERALIZED INTEGRAL INEQUALITIES VIA (H, M)-CONVEX MODIFIED FUNCTIONS

Authors: Bayraktar B. Valdés J.E.N. Eğitim Fakültesi et al.

Contributors: Bayraktar B. Valdés J.E.N. Eğitim Fakültesi et al.

Subject Terms: Weighted integrals, Power mean inequality, Hölder inequality, Hermite-Hadamard inequality, (m,h)-convex functions, Convex Function, Type Inequality, Integral Operator

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Relation: Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta; https://hdl.handle.net/11452/51738; 15; 60

Availability: https://hdl.handle.net/11452/51738
https://doi.org/10.35634/2226-3594-2022-60-01

Giaccardi inequality for generalized convex functions and related results

Authors: Wasim Iqbal Atiq ur Rehman

Source: Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-11 (2023)

Subject Terms: Modified h-convex functions, Modified ( h , m ) $(h,m)$ -convex functions, Giaccardi inequality, Mathematics, QA1-939

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Relation: https://doaj.org/toc/1029-242X

Access URL: https://doaj.org/article/1172f7bcbaf04c63a4a401b720662e2d

New Inequalities for GA–h Convex Functions via Generalized Fractional Integral Operators with Applications to Entropy and Mean Inequalities

Authors: Asfand Fahad Zammad Ali Shigeru Furuichi et al.

Source: Fractal and Fractional, Vol 8, Iss 12, p 728 (2024)

Subject Terms: generalized Hadamard fractional integral operators, h-convex functions, GA-h-convex functions, Hermite–Hadamard inequality, Mercer inequality, arithmetic mean, Thermodynamics, QC310.15-319, Mathematics, QA1-939, Analysis, QA299.6-433

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Relation: https://www.mdpi.com/2504-3110/8/12/728; https://doaj.org/toc/2504-3110

Access URL: https://doaj.org/article/917c6603c86b4b349267579d308cc4b1

New inequalities of Hermite-Hadamard type for h-convex functions via generalized fractional integrals

Authors: Ali, M. A. Budak, Hüseyin Sarıkaya, Mehmet Zeki et al.

Contributors: Ali, M. A. Budak, Hüseyin Sarıkaya, Mehmet Zeki et al.

Source: Progress in Fractional Differentiation and Applications. 7:307-316

Subject Terms: Hermite-Hadamard inequalities, generalized fractional integral, h-convex functions

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Access URL: https://avesis.kocaeli.edu.tr/publication/details/c44bfdc4-ea48-427c-8583-2c0af5fb8ded/oai
https://hdl.handle.net/20.500.12684/9886
https://doi.org/10.18576/pfda/070409

Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA- h -Convex Functions and Its Subclasses with Applications

Authors: Asfand Fahad Ayesha Yuanheng Wang et al.

Source: Mathematics, Vol 11, Iss 278, p 278 (2023)

Subject Terms: convex functions, h -convex functions, GA- h -convex functions, Jensen–Mercer inequality, Hermite–Hadamard–Mercer type inequalities, Hadamard fractional integral, Mathematics, QA1-939

Relation: https://www.mdpi.com/2227-7390/11/2/278; https://doaj.org/toc/2227-7390; https://doaj.org/article/0b1446ba21dd457b86cb783f07efdc7e

Availability: https://doi.org/10.3390/math11020278
https://doaj.org/article/0b1446ba21dd457b86cb783f07efdc7e

FRACTIONAL HERMITE–HADAMARD INEQUALITY, SIMPSON’S AND OSTROWSKI’S TYPE INEQUALITIES FOR CONVEX FUNCTIONS WITH RESPECT TO A PAIR OF FUNCTIONS

Authors: Xie, Jianqiang Ali, Muhammad Aamir Budak, Hüseyin et al.

Contributors: Xie, Jianqiang Ali, Muhammad Aamir Budak, Hüseyin et al.

Source: Rocky Mountain Journal of Mathematics. 53

Subject Terms: Simpson's inequality, h)-convex functions, Hermite-Hadamard inequality, fractional calculus, Ostrowski's inequality, (g

Access URL: https://avesis.kocaeli.edu.tr/publication/details/666ade5f-f249-4599-a4d9-58286a928d8c/oai
https://hdl.handle.net/20.500.12684/14040
https://doi.org/10.1216/rmj.2023.53.611

Some inequalities for strongly $(p,h)$-harmonic convex functions

Authors: M.A. Noor K.I. Noor S. Iftikhar et al.

Contributors: M.A. Noor K.I. Noor S. Iftikhar et al.

Source: Karpatsʹkì Matematičnì Publìkacìï, Vol 11, Iss 1, Pp 119-135 (2019)
Carpathian Mathematical Publications; Vol 11, No 1 (2019); 119-135
Карпатские математические публикации; Vol 11, No 1 (2019); 119-135
Карпатські математичні публікації; Vol 11, No 1 (2019); 119-135

Subject Terms: $p$-гармонійно опуклі функції, $h$-опуклі функції, сильно опуклі функції, нерівності типу Ерміта-Адамара, $h$-convex functions, strongly convex functions, $p$-harmonic convex functions, $h$-convex functions, strongly convex functions, Hermite-Hadamard type inequalities, $p$-harmonic convex functions, QA1-939, hermite-hadamard type inequalities, 0101 mathematics, 01 natural sciences, Mathematics

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Access URL: https://journals.pnu.edu.ua/index.php/cmp/article/download/1514/1958
https://doaj.org/article/26f8bc69ae1b47de8bf3845e023e1314
http://journals.pnu.edu.ua/index.php/cmp/article/download/1514/1958
http://journals.pu.if.ua/index.php/cmp/article/view/2222

Hermite-hadamard type ınequalities for multiplicatively s-convex functions

Authors: Serap ÖZCAN

Source: Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-14 (2023)
Volume: 41, Issue: 1 245-259
Cumhuriyet Science Journal
Volume: 8, Issue: 1 158-164
Konuralp Journal of Mathematics

Subject Terms: Mühendislik, [No Keywords], 02 engineering and technology, 01 natural sciences, Engineering, Hermite-Hadamard inequality, 0202 electrical engineering, electronic engineering, information engineering, QA1-939, Convex functions, multiplicatively $h$-convex functions, multiplicative calculus, Hermite-Hadamard type inequalities, multiplicatively s-convex functions, Hermite-Hadamard inequalities, 0101 mathematics, Multiplicative calculus, Multiplicative integrals, Mathematics

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Access URL: https://dergipark.org.tr/tr/download/article-file/1016298
https://doaj.org/article/d89660ea9d734d84a37290537ded1718
http://csj.cumhuriyet.edu.tr/tr/pub/issue/53251/663559
https://dergipark.org.tr/tr/download/article-file/1016298
https://csj.cumhuriyet.edu.tr/tr/download/article-file/1016298
https://hdl.handle.net/20.500.11857/2312
https://dergipark.org.tr/tr/pub/csj/issue/53251/663559
https://dergipark.org.tr/tr/pub/konuralpjournalmath/issue/31494/661410

A variant of Jensen-type inequality and related results for harmonic convex functions

Authors: Imran Abbas Baloch Aqeel Ahmad Mughal Yu‐Ming Chu et al.

Source: AIMS Mathematics, Vol 5, Iss 6, Pp 6404-6418 (2020)

Subject Terms: convex functions, Geometry, hermite-hadamard-type inequality, Convex Functions, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, 01 natural sciences, harmonic h-convex functions, Convex function, QA1-939, FOS: Mathematics, Jensen's inequality, 0101 mathematics, Biology, Log sum inequality, Ecology, Applied Mathematics, Physics, Pure mathematics, Harmonic, jensen-type inequality, Stability of Functional Equations in Mathematical Analysis, Convex combination, Convex optimization, Regular polygon, Convex analysis, Inequality, harmonic convex functions, discrete hölder inequality, FOS: Biological sciences, Physical Sciences, Harmonic function, Type (biology), Mathematics

Access URL: https://doaj.org/article/58124f5f51f648bcaf1b664ac4dfed39
https://www.aimspress.com/article/doi/10.3934/math.2020412?viewType=HTML

Some Novel Fractional Integral Inequalities for Different Kinds of Convex Functions

Authors: Aslan, Sinan Sosyal Bilimler Enstitüsü orcid:0000-0001-5970-1926

Contributors: Aslan, Sinan Sosyal Bilimler Enstitüsü orcid:0000-0001-5970-1926

Source: Volume: 9, Issue: 1 27-32
Eastern Anatolian Journal of Science

Subject Terms: h−convex functions, Matematiksel Yöntemler ve Özel Fonksiyonlar, Caputo-Fabrizio fractional integral operator, s−convex functions, Mathematical Methods and Special Functions

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Access URL: https://hdl.handle.net/20.500.12501/3702
https://dergipark.org.tr/tr/pub/eajs/issue/78712/1310975

New Hadamard Type Inequalities for Modified h -Convex Functions

Authors: Daniel Breaz Çetin Yildiz Luminiţa-Ioana Cotîrlă et al.

Source: Fractal and Fractional, Vol 7, Iss 3, p 216 (2023)

Subject Terms: Hermite–Hadamard inequality, Fejér inequality, modified h -convex functions, super-additive functions, Thermodynamics, QC310.15-319, Mathematics, QA1-939, Analysis, QA299.6-433

Relation: https://www.mdpi.com/2504-3110/7/3/216; https://doaj.org/toc/2504-3110; https://doaj.org/article/e9bf2e45b11d419d8b4de4adb5af067b

Availability: https://doi.org/10.3390/fractalfract7030216
https://doaj.org/article/e9bf2e45b11d419d8b4de4adb5af067b

Hermite–Hadamard-type inequalities for η h $\eta _{h}$ -convex functions via ψ-Riemann–Liouville fractional integrals

Authors: Choonkil Park Yu-Ming Chu Muhammad Shoaib Saleem et al.

Source: Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-14 (2020)

Subject Terms: Hermite–Hadamard inequalities, ψ-Riemann–Liouville fractional integrals, η h $\eta _{h}$ -convex functions, Mathematics, QA1-939

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Relation: http://link.springer.com/article/10.1186/s13662-020-03068-z; https://doaj.org/toc/1687-1847

Access URL: https://doaj.org/article/8dcaf701c72145b0b3a790477d338b8a

Integral Inequalities for Generalized Approximately h-convex Functions on Fractal Sets via Generalized Local Fractional Integrals

Authors: Bibi, Maria Muddassar, Muhammad

Source: Innovative Journal of Mathematics (IJM); Vol. 1 No. 3 (2022); 1 - 12 ; 2790-3389 ; 2790-3370

Subject Terms: Generalized approximately h-convex functions, Local fractional integral inequality, Fractal Sets, Local Fractional Integrals

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Relation: https://www.sigmawings.com/journals/index.php/IJM/article/view/48/35; https://www.sigmawings.com/journals/index.php/IJM/article/view/48

Availability: https://www.sigmawings.com/journals/index.php/IJM/article/view/48

Inequalities via generalized h-convex functions

Authors: Muhammad Aslam Noor Farhat Safdar K. I. Noor

Source: Проблемы анализа, Vol 7(25), Iss 2, Pp 112-130 (2018)

Subject Terms: Hermite-Hadamard-Fej´er type inequalities, generalized h-convex functions, QA1-939, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Toader-like convex function, 0101 mathematics, 01 natural sciences, Mathematics, Generalized convex functions

Access URL: https://doaj.org/article/4ba12f01713d42b783f0edcbcb2d849f
https://cyberleninka.ru/article/n/inequalities-via-generalized-h-convex-functions/pdf
https://cyberleninka.ru/article/n/inequalities-via-generalized-h-convex-functions

Trapezoidal type inequalities related to h-convex functions with applications

Authors: M. Rostamian Delavar S. S. Dragomir

Source: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 113:1487-1498

Subject Terms: Mg(t), Mathematics - Functional Analysis, inequality, Fejér, 0102 Applied Mathematics, College of Science and Engineering, trapezoidal form, FOS: Mathematics, h-convex functions, Functional Analysis (math.FA)

Access URL: http://arxiv.org/pdf/1801.00782
http://arxiv.org/abs/1801.00782
https://vuir.vu.edu.au/36598/
https://link.springer.com/article/10.1007%2Fs13398-018-0563-3
https://arxiv.org/pdf/1801.00782.pdf
https://ui.adsabs.harvard.edu/abs/2018arXiv180100782R/abstract
https://arxiv.org/abs/1801.00782