Results 1 to 10 of about 233 (97)
Some New Jensen–Mercer Type Integral Inequalities via Fractional Operators [PDF]
Axioms, 2023 In this study, we present new variants of the Hermite–Hadamard inequality via non-conformable fractional integrals. These inequalities are proven for convex functions and differentiable functions whose derivatives in absolute value are generally convex ...
Bahtiyar Bayraktar +2 more
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Levinson's type generalization of the Jensen inequality and its converse for real Stieltjes measure. [PDF]
J Inequal Appl, 2017 Mikić R, Pečarić J, Rodić M.
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POST-QUANTUM HERMITE-JENSEN-MERCER INEQUALITIES [PDF]
, 2023 The Jensen-Mercer inequality, which is well known in the literature, has an important place in mathematics and related disciplines. In this work, we obtain the Hermite-Jensen-Mercer inequality for post-quantum integrals by utilizing Jensen-Mercer ...
Bohner, Martin +2 more
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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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Some new and general versions of q-Hermite-Hadamard-Mercer inequalities [PDF]
, 2023 In this paper, we establish two new different and general variants of q-Hermite–HadamardMercer inequalities by using the newly defined q-integrals. The main edge of these inequalities is that they can be converted into some existing and new inequalities ...
Ali, Muhammad Amir +2 more
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On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications [PDF]
, 2023 This research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and their properties. The results were
Aljuaid, Munirah +4 more
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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
Peng Xu +4 more
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Jensen–Mercer inequality for GA-convex functions and some related inequalities
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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Advances in Optimization and Nonlinear Analysis [PDF]
, 2022 The present book focuses on that part of calculus of variations, optimization, nonlinear analysis and related applications which combines tools and methods from partial differential equations with geometrical techniques.
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International Journal of Mathematics and Mathematical Sciences, 2022 In order to be able to study cosmic phenomena more accurately and broadly, it was necessary to expand the concept of calculus. In this study, we aim to introduce a new fractional Hermite–Hadamard–Mercer’s inequality and its fractional integral type ...
Tariq A. Aljaaidi, Deepak B. Pachpatte
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