Results 1 to 10 of about 30,421 (194)
AEJ - Alexandria Engineering Journal, 2022 In this paper, we present generalized Jensen-Mercer inequality for a generalized h-convex function on fractal sets. We proved Hermite-Hadamard-Mercer local fractional integral inequalities via integral operators pertaining Mittag-Leffler kernel. Also, we
Saad Ihsan Butt
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Mathematics, 2023 Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad +3 more
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Jensen–Mercer inequality for GA-convex functions and some related inequalities [PDF]
Journal of Inequalities and Applications, 2020 In this paper, firstly, we prove a Jensen–Mercer inequality for GA-convex functions. After that, we establish weighted Hermite–Hadamard’s inequalities for GA-convex functions using the new Jensen–Mercer inequality, and we establish some new inequalities ...
İmdat İşcan
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On inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional integrals
AIMS Mathematics, 2021 The goal of this article is to establish many inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional operators. We also establish some related fractional integral inequalities connected to the left side of Hermite-Hadamard ...
Thabet Abdeljawad +3 more
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On a variant of Čebyšev’s inequality of the Mercer type [PDF]
Journal of Inequalities and Applications, 2020 We consider the discrete Jensen–Mercer inequality and Čebyšev’s inequality of the Mercer type. We establish bounds for Čebyšev’s functional of the Mercer type and bounds for the Jensen–Mercer functional in terms of the discrete Ostrowski inequality ...
Anita Matković, Josip Pečarić
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New fractional estimates for Hermite-Hadamard-Mercer’s type inequalities
AEJ - Alexandria Engineering Journal, 2020 An analogous version of Hermite-Hadamard-Mercer’s inequality has been established using the Katugampola fractional integral operators. The result is the generalization of the Riemann-Liouville fractional integral operator combined with the left and right
Saima Rashid +2 more
exaly +3 more sources
New Estimates for Csiszár Divergence and Zipf–Mandelbrot Entropy via Jensen–Mercer’s Inequality
Complexity, 2020 Jensen’s inequality is one of the fundamental inequalities which has several applications in almost every field of science. In 2003, Mercer gave a variant of Jensen’s inequality which is known as Jensen–Mercer’s inequality. The purpose of this article is
Muhammad Adil Khan +2 more
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New Fractional Hermite–Hadamard–Mercer Inequalities for Harmonically Convex Function
Journal of Function Spaces, 2021 In 2003, Mercer presented an interesting variation of Jensen’s inequality called Jensen–Mercer inequality for convex function. In the present paper, by employing harmonically convex function, we introduce analogous versions of Hermite–Hadamard ...
Saad Ihsan Butt +4 more
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Alexandria Engineering Journal, 2023 The objective of the current article is to incorporate the concepts of convexity and Jensen-Mercer inequality with the Caputo-Fabrizio fractional integral operator.
Soubhagya Kumar Sahoo +4 more
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Journal of Inequalities and Applications, 2022 In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is obtained.
Saad Ihsan Butt +3 more
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