Giaccardi inequality for generalized convex functions and related results

In this article, the famous Giaccardi inequality is generalized for modified ( h , m ) -convex functions under the condition that h is a multiplicative positive function. The results are also discussed for different values of h and m . Also, Lagrange and Cauchy type mean value theorems for the funct...

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Published in:	Journal of inequalities and applications Vol. 2023; no. 1; pp. 132 - 11
Main Authors:	Iqbal, Wasim, Rehman, Atiq ur
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 16.10.2023 Springer Nature B.V SpringerOpen
Subjects:	Analysis Applications of Mathematics Control theory Convex analysis Differential calculus Giaccardi inequality Inequality Mathematics Mathematics and Statistics Modified ( h , m ) $(h,m)$ -convex functions Modified h-convex functions Modified 26A51 26D10 convex functions Giaccardi inequality 26D15
ISSN:	1029-242X, 1025-5834, 1029-242X
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Abstract	In this article, the famous Giaccardi inequality is generalized for modified ( h , m ) -convex functions under the condition that h is a multiplicative positive function. The results are also discussed for different values of h and m . Also, Lagrange and Cauchy type mean value theorems for the functional due to Giaccardi’s inequality are obtained.
AbstractList	In this article, the famous Giaccardi inequality is generalized for modified (h,m)-convex functions under the condition that h is a multiplicative positive function. The results are also discussed for different values of h and m. Also, Lagrange and Cauchy type mean value theorems for the functional due to Giaccardi’s inequality are obtained. Abstract In this article, the famous Giaccardi inequality is generalized for modified ( h , m ) $(h,m)$ -convex functions under the condition that h is a multiplicative positive function. The results are also discussed for different values of h and m. Also, Lagrange and Cauchy type mean value theorems for the functional due to Giaccardi’s inequality are obtained. In this article, the famous Giaccardi inequality is generalized for modified $(h,m)$ ( h , m ) -convex functions under the condition that h is a multiplicative positive function. The results are also discussed for different values of h and m . Also, Lagrange and Cauchy type mean value theorems for the functional due to Giaccardi’s inequality are obtained. In this article, the famous Giaccardi inequality is generalized for modified ( h , m ) -convex functions under the condition that h is a multiplicative positive function. The results are also discussed for different values of h and m . Also, Lagrange and Cauchy type mean value theorems for the functional due to Giaccardi’s inequality are obtained.
ArticleNumber	132
Author	Rehman, Atiq ur Iqbal, Wasim
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References	Tınaztepe, Kemali, Sezer, Eken (CR18) 2020; 50 Pečarić, Rehman (CR13) 2008; 2008 Pečarić, Proschan, Tong (CR12) 1991 Eken, Kemali, Tınaztepe, Adilov (CR3) 2021; 50 CR5 Rehman, Farid, Akbar (CR16) 2018; 16 Liu, Iqbal, Rehman, Farid, Nonlaopon (CR8) 2022; 2022 CR15 Pečarić, Rehman (CR14) 2013; 17 Pečarić, Čuljak (CR10) 2003; 26 Varošanec (CR22) 2007; 326 Bakula, Pečarić, Ribičić (CR1) 2006; 7 Tınaztepe, Tınaztepe, Eken, Sezer, Kemali, Işık İ, Sezer Evcan (CR19) 2023; 17 Toader (CR21) 2009; 3 Rehman, Farid, Iqbal (CR17) 2020; 44 Kemali, Tinaztepe, Adilov (CR7) 2018; 33 Giaccardi (CR4) 1953; 1 Hudzik, Maligranda (CR6) 1994; 48 Pečarić, Perić (CR11) 2012; 39 Dragomir, Pečarić, Persson (CR2) 1995; 21 Noor, Noor, Awan (CR9) 2014; 6 Toader (CR20) 1984 A. Hudzik (3038_CR6) 1994; 48 S. Kemali (3038_CR7) 2018; 33 S.S. Dragomir (3038_CR2) 1995; 21 3038_CR5 G. Toader (3038_CR21) 2009; 3 J.E. Pečarić (3038_CR13) 2008; 2008 R. Tınaztepe (3038_CR19) 2023; 17 J.E. Pečarić (3038_CR10) 2003; 26 S. Varošanec (3038_CR22) 2007; 326 Z. Eken (3038_CR3) 2021; 50 J.E. Pečarić (3038_CR14) 2013; 17 G. Tınaztepe (3038_CR18) 2020; 50 M.A. Noor (3038_CR9) 2014; 6 3038_CR15 J.E. Pečarić (3038_CR12) 1991 A.U. Rehman (3038_CR17) 2020; 44 J.E. Pečarić (3038_CR11) 2012; 39 M.K. Bakula (3038_CR1) 2006; 7 A.U. Rehman (3038_CR16) 2018; 16 G. Toader (3038_CR20) 1984 F. Giaccardi (3038_CR4) 1953; 1 Y. Liu (3038_CR8) 2022; 2022
References_xml	– volume: 21 start-page: 335 year: 1995 end-page: 341 ident: CR2 article-title: Some inequalities of Hadamard type publication-title: Soochow J. Math. – volume: 2008 start-page: 863 year: 2008 end-page: 874 ident: CR13 article-title: Giaccardi inequality for convex-concave antisymmetric functions and applications publication-title: J. Inequal. Appl. – volume: 33 start-page: 697 issue: 5 year: 2018 end-page: 704 ident: CR7 article-title: New type inequalities for B-1-convex functions involving Hadamard fractional integral publication-title: Facta Univ., Ser. Math. Inform. – volume: 17 start-page: 1 year: 2013 end-page: 10 ident: CR14 article-title: On logarithmic convexity for Giaccardi’s difference publication-title: Rad Hazu. – year: 1991 ident: CR12 publication-title: Convex Functions, Partial Orderings and Statistical Applications – ident: CR15 – volume: 1 start-page: 139 issue: 4 year: 1953 end-page: 153 ident: CR4 article-title: Su alcune disuguaglilianze publication-title: Giorn. Mat. Finanz. – volume: 16 start-page: 1 issue: 2 year: 2018 end-page: 16 ident: CR16 article-title: On Giaccardi inequality and associated functional in the plane publication-title: Int. J. Anal. Appl. – volume: 2022 start-page: 1 year: 2022 end-page: 7 ident: CR8 article-title: Giaccardi inequality for modified -convex functions and mean value theorems publication-title: J. Funct. Spaces doi: 10.1155/2022/1689732 – start-page: 329 year: 1984 end-page: 338 ident: CR20 article-title: Some generalizations of the convexity publication-title: Proc. Colloq. Approx. Optim., Cluj-Napoca (Romania) – volume: 50 start-page: 1268 issue: 5 year: 2021 end-page: 1279 ident: CR3 article-title: The Hermite-Hadamard inequalities for p-convex functions publication-title: Hacet. J. Math. Stat. doi: 10.15672/hujms.775508 – volume: 6 start-page: 1 year: 2014 end-page: 10 ident: CR9 article-title: Hermite Hadamard inequalities for modified -convex functions publication-title: Transylv. J. Math. Mech. – volume: 3 start-page: 305 issue: 3 year: 2009 end-page: 313 ident: CR21 article-title: The hierarchy of convexity and some classic inequalities publication-title: J. Math. Inequal. doi: 10.7153/jmi-03-30 – volume: 26 start-page: 57 issue: 1 year: 2003 end-page: 61 ident: CR10 article-title: Inequality of Petrović’s and Giaccardi for convex function of higher order publication-title: Southeast Asian Bull. Math. doi: 10.1007/s100120200027 – volume: 39 start-page: 65 issue: 1 year: 2012 end-page: 75 ident: CR11 article-title: Improvements of the Giaccardi and the Petrović’s inequality and related Stolarsky type means publication-title: An. Univ. Craiova, Ser. Mat. Inform. – volume: 44 start-page: 335 issue: 3 year: 2020 end-page: 351 ident: CR17 article-title: More about Petrović’s inequality on coordinates via -convex functions and related results publication-title: Kragujev. J. Math. doi: 10.46793/KgJMat2003.335R – ident: CR5 – volume: 48 start-page: 100 year: 1994 end-page: 111 ident: CR6 article-title: Some remarks on s-convex functions publication-title: Aequ. Math. doi: 10.1007/BF01837981 – volume: 50 start-page: 377 issue: 2 year: 2020 end-page: 386 ident: CR18 article-title: The sharper form of a Brunn-Minkowski type inequality for boxes publication-title: Hacet. J. Math. Stat. doi: 10.15672/hujms.657839 – volume: 326 start-page: 303 issue: 1 year: 2007 end-page: 311 ident: CR22 article-title: On -convexity publication-title: J. Math. Anal. Appl. doi: 10.1016/j.jmaa.2006.02.086 – volume: 7 start-page: 1 issue: 5 year: 2006 end-page: 15 ident: CR1 article-title: Companion inequalities to Jensen’s inequality for -convex and -convex functions publication-title: J. Inequal. Pure Appl. Math. – volume: 17 start-page: 99 issue: 1 year: 2023 end-page: 111 ident: CR19 article-title: The sharper version for generalized power mean inequalities with negative exponent publication-title: J. Math. Inequal. doi: 10.7153/jmi-2023-17-07 – ident: 3038_CR5 – volume: 17 start-page: 99 issue: 1 year: 2023 ident: 3038_CR19 publication-title: J. Math. Inequal. doi: 10.7153/jmi-2023-17-07 – volume: 7 start-page: 1 issue: 5 year: 2006 ident: 3038_CR1 publication-title: J. Inequal. Pure Appl. Math. – volume: 1 start-page: 139 issue: 4 year: 1953 ident: 3038_CR4 publication-title: Giorn. Mat. Finanz. – volume: 26 start-page: 57 issue: 1 year: 2003 ident: 3038_CR10 publication-title: Southeast Asian Bull. Math. doi: 10.1007/s100120200027 – volume: 44 start-page: 335 issue: 3 year: 2020 ident: 3038_CR17 publication-title: Kragujev. J. Math. doi: 10.46793/KgJMat2003.335R – volume: 50 start-page: 377 issue: 2 year: 2020 ident: 3038_CR18 publication-title: Hacet. J. Math. Stat. doi: 10.15672/hujms.657839 – volume: 16 start-page: 1 issue: 2 year: 2018 ident: 3038_CR16 publication-title: Int. J. Anal. Appl. – volume: 21 start-page: 335 year: 1995 ident: 3038_CR2 publication-title: Soochow J. Math. – ident: 3038_CR15 – volume: 50 start-page: 1268 issue: 5 year: 2021 ident: 3038_CR3 publication-title: Hacet. J. Math. Stat. doi: 10.15672/hujms.775508 – volume: 48 start-page: 100 year: 1994 ident: 3038_CR6 publication-title: Aequ. Math. doi: 10.1007/BF01837981 – volume: 33 start-page: 697 issue: 5 year: 2018 ident: 3038_CR7 publication-title: Facta Univ., Ser. Math. Inform. – volume: 3 start-page: 305 issue: 3 year: 2009 ident: 3038_CR21 publication-title: J. Math. Inequal. doi: 10.7153/jmi-03-30 – volume: 17 start-page: 1 year: 2013 ident: 3038_CR14 publication-title: Rad Hazu. – volume: 326 start-page: 303 issue: 1 year: 2007 ident: 3038_CR22 publication-title: J. Math. Anal. Appl. doi: 10.1016/j.jmaa.2006.02.086 – volume: 2022 start-page: 1 year: 2022 ident: 3038_CR8 publication-title: J. Funct. Spaces doi: 10.1155/2022/1689732 – volume: 6 start-page: 1 year: 2014 ident: 3038_CR9 publication-title: Transylv. J. Math. Mech. – start-page: 329 volume-title: Proc. Colloq. Approx. Optim., Cluj-Napoca (Romania) year: 1984 ident: 3038_CR20 – volume: 39 start-page: 65 issue: 1 year: 2012 ident: 3038_CR11 publication-title: An. Univ. Craiova, Ser. Mat. Inform. – volume-title: Convex Functions, Partial Orderings and Statistical Applications year: 1991 ident: 3038_CR12 – volume: 2008 start-page: 863 year: 2008 ident: 3038_CR13 publication-title: J. Inequal. Appl.
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Snippet	In this article, the famous Giaccardi inequality is generalized for modified ( h , m ) -convex functions under the condition that h is a multiplicative... In this article, the famous Giaccardi inequality is generalized for modified $(h,m)$ ( h , m ) -convex functions under the condition that h is a multiplicative... In this article, the famous Giaccardi inequality is generalized for modified (h,m)-convex functions under the condition that h is a multiplicative positive... Abstract In this article, the famous Giaccardi inequality is generalized for modified ( h , m ) $(h,m)$ -convex functions under the condition that h is a...
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SubjectTerms	Analysis Applications of Mathematics Control theory Convex analysis Differential calculus Giaccardi inequality Inequality Mathematics Mathematics and Statistics Modified ( h , m ) $(h,m)$ -convex functions Modified h-convex functions
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Title	Giaccardi inequality for generalized convex functions and related results
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