Suchergebnisse - "h$-convex functions"
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Petrović-Type Inequalities for Harmonic h-convex Functions
ISSN: 2314-8896, 2314-8888Veröffentlicht: Cairo, Egypt Hindawi Publishing Corporation 2020Veröffentlicht in Journal of function spaces (2020)“… In the article, we establish several Petrović-type inequalities for the harmonic h-convex (concave) function if h is a submultiplicative (super-multiplicative) …”
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Hermite‐Hadamard type inequalities for generalized Riemann‐Liouville fractional integrals of h‐convex functions
ISSN: 0170-4214, 1099-1476Veröffentlicht: Freiburg Wiley Subscription Services, Inc 01.02.2021Veröffentlicht in Mathematical methods in the applied sciences (01.02.2021)“… In this paper, we establish some Hermite‐Hadamard type inequalities for the Generalized Riemann‐Liouville fractional integrals Ia+,gαf and Ib−,gαf, where g is …”
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Hermite-Hadamard type inequalities for new conditions on h-convex functions via ψ-Hilfer integral operators
ISSN: 1664-2368, 1664-235XVeröffentlicht: Cham Springer International Publishing 01.04.2024Veröffentlicht in Analysis and mathematical physics (01.04.2024)“… –Hadamard and trapezoid type inequalities on the right-hand side that involves h -convex and ψ -Hilfer operators. We also provide new midpoint-type inequalities using h -convex functions …”
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Inequalities of Hermite-Hadamard Type for h-Convex Functions on Linear Spaces
ISSN: 0716-0917Veröffentlicht: Universidad Católica del Norte, Departamento de Matemáticas 17.04.2025Veröffentlicht in Proyecciones (Antofagasta) (17.04.2025)“… Some inequalities of Hermite-Hadamard type for h-convex functions defined on convex subsets in real or complex linear spaces are given …”
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Some new inequalities for generalized h‐convex functions involving local fractional integral operators with Mittag‐Leffler kernel
ISSN: 0170-4214, 1099-1476Veröffentlicht: Freiburg Wiley Subscription Services, Inc 01.04.2021Veröffentlicht in Mathematical methods in the applied sciences (01.04.2021)“… ‐Leffler kernel for generalized h‐convex functions. In addition, we obtain some special inequalities when the parameter β …”
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Properties of h -convex functions related to the Hermite–Hadamard–Fejér inequalities
ISSN: 0898-1221, 1873-7668Veröffentlicht: Elsevier Ltd 01.11.2009Veröffentlicht in Computers & mathematics with applications (1987) (01.11.2009)“… In this paper we prove the Hermite–Hadamard–Fejér inequalities for an h -convex function and we point out the results for some special classes of functions …”
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On Riemann-Liouville integrals and Caputo Fractional derivatives via strongly modified (p, h)-convex functions
ISSN: 1932-6203, 1932-6203Veröffentlicht: United States Public Library of Science 15.10.2024Veröffentlicht in PloS one (15.10.2024)“… The paper introduces a new class of convexity named strongly modified ( p , h )-convex functions and establishes various properties of these functions, providing a comprehensive understanding of their behavior and characteristics …”
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Some inequalities for operator (p, h)-convex functions
ISSN: 0308-1087, 1563-5139Veröffentlicht: Abingdon Taylor & Francis 04.03.2018Veröffentlicht in Linear & multilinear algebra (04.03.2018)“… . In this paper, we study properties of operator (p, h)-convex functions and prove the Jensen, Hansen-Pedersen type inequalities …”
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On some fractional integral inequalities for generalized strongly modified $h$-convex functions
ISSN: 2473-6988, 2473-6988Veröffentlicht: AIMS Press 01.01.2020Veröffentlicht in AIMS mathematics (01.01.2020)“… Many generalizations of convex functions exists in literature. The main aim of the article is to develop fractional integral inequalities for generalized strongly modified h-convex functions …”
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On derivability criteria of h-Convex Functions
ISSN: 2311-004X, 2310-5070Veröffentlicht: 29.05.2025Veröffentlicht in Statistics, optimization & information computing (29.05.2025)“… This study pursues two main objectives. First, we aim to generalize the Criterion of Derivability for convex functions, which posits that for a specific type …”
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Generalized Fractal Jensen–Mercer and Hermite–Mercer type inequalities via h-convex functions involving Mittag–Leffler kernel
ISSN: 1110-0168Veröffentlicht: Elsevier B.V 01.06.2022Veröffentlicht in Alexandria engineering journal (01.06.2022)“… In this paper, we present generalized Jensen-Mercer inequality for a generalized h-convex function on fractal sets …”
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(p,h)-Convex Functions Associated with Hadamard and Fejér-Hadamard Inequalities via k-Fractional Integral Operators
ISSN: 2314-8896, 2314-8888Veröffentlicht: New York Hindawi 2022Veröffentlicht in Journal of function spaces (2022)“… )-convex functions for Hadamard-type inequalities give the generalizations of results which have been proved in literature for p-convex, h-convex, and several functions …”
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Estimates related to Caputo derivatives using generalized modified $ h $-convex functions
ISSN: 2473-6988, 2473-6988Veröffentlicht: AIMS Press 01.01.2024Veröffentlicht in AIMS mathematics (01.01.2024)“… In the present work, we have established some new fractional integral inequalities for functions whose $ k $th-derivatives are generalized modified $ h …”
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On generalized strongly modified h-convex functions
ISSN: 1029-242X, 1025-5834, 1029-242XVeröffentlicht: Cham Springer International Publishing 15.01.2020Veröffentlicht in Journal of inequalities and applications (15.01.2020)“… We derive some properties and results for a new extended class of convex functions, generalized strongly modified h -convex functions …”
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Weighted fractional inequalities for new conditions on h-convex functions
ISSN: 1687-2770, 1687-2762, 1687-2770Veröffentlicht: Cham Springer International Publishing 18.06.2024Veröffentlicht in Boundary value problems (18.06.2024)“… -Hilfer operators for differentiable functions. Moreover, by employing these equalities and the properties of the B -function, we derive several trapezoid- and midpoint-type inequalities for h -convex functions …”
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Milne-type inequalities for third differentiable and h-convex functions
ISSN: 1687-2770, 1687-2762, 1687-2770Veröffentlicht: Cham Springer International Publishing 07.01.2025Veröffentlicht in Boundary value problems (07.01.2025)“… This paper develops a novel Milne inequality for third-differentiable and h -convex functions using Riemann integrals …”
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Some inequalities for cr-log-h-convex functions
ISSN: 1029-242X, 1025-5834, 1029-242XVeröffentlicht: Cham Springer International Publishing 22.12.2022Veröffentlicht in Journal of inequalities and applications (22.12.2022)“… The main purpose of this paper is to study certain inequalities for cr -log- h -convex functions with an interval value …”
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Integral inequalities involving a new class of generalized strongly modified $ (p, h) $-convex functions
ISSN: 2473-6988, 2473-6988Veröffentlicht: AIMS Press 01.01.2025Veröffentlicht in AIMS mathematics (01.01.2025)“… A novel class of generalized strongly modified (GSM) $ (p, h) $-convex functions (CFs) was presented in paper and its fundamental properties were established …”
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On Caputo–Fabrizio Fractional Integral Inequalities of Hermite–Hadamard Type for Modified h-Convex Functions
ISSN: 2314-4629, 2314-4785Veröffentlicht: Cairo, Egypt Hindawi Publishing Corporation 2020Veröffentlicht in Journal of mathematics (Hidawi) (2020)“… –Fabrizio fractional integral operator in the setting of h-convex function. We present some new Caputo …”
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New Multi-Parametrized Estimates Having pth-Order Differentiability in Fractional Calculus for Predominating ℏ-Convex Functions in Hilbert Space
ISSN: 2073-8994, 2073-8994Veröffentlicht: 01.02.2020Veröffentlicht in Symmetry (Basel) (01.02.2020)“… of η -convex functions, η -quasiconvex functions, strongly ℏ-convex functions of higher-order and strongly quasiconvex functions of a higher order, etc …”
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