Results 1 to 10 of about 250 (112)
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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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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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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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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Some new and general versions of q-Hermite-Hadamard-Mercer inequalities [PDF]
Filomat, 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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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.
europepmc +3 more sources
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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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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AIMS Mathematics, 2023 Using Atangana-Baleanu (AB) fractional integral operators, we first establish some fractional Hermite-Hadamard-Mercer inclusions for interval-valued functions in this study.
Jamshed Nasir +3 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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