Results 21 to 30 of about 1,052 (202)
Fractal and Fractional, 2022 The present paper provides several corrected dual-Simpson-type inequalities for functions whose local fractional derivatives are generalized convex. To that end, we derive a new local fractional integral identity as an auxiliary result.
Abdelghani Lakhdari +3 more
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Determination of Bounds for the Jensen Gap and Its Applications
Mathematics, 2021 The Jensen inequality has been reported as one of the most consequential inequalities that has a lot of applications in diverse fields of science. For this reason, the Jensen inequality has become one of the most discussed developmental inequalities in ...
Hidayat Ullah +2 more
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Some complementary inequalities to Jensen’s operator inequality
Journal of Inequalities and Applications, 2018 In this paper, we study some complementary inequalities to Jensen’s inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions.
Jadranka Mićić +2 more
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Some New Fractal Milne-Type Integral Inequalities via Generalized Convexity with Applications
Fractal and Fractional, 2023 This study aims to construct some new Milne-type integral inequalities for functions whose modulus of the local fractional derivatives is convex on the fractal set.
Badreddine Meftah +3 more
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Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application
Journal of Function Spaces, 2019 Some authors introduced the concepts of the harmonically arithmetic convex functions and establish some integral inequalities of Hermite Hadamard Fejér type related to the harmonically arithmetic convex functions.
Sercan Turhan
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On generalization of Levinson’s inequality involving averages of 3-convex functions
Journal of Inequalities and Applications, 2023 By using an integral arithmetic mean, a generalization of Levinson’s inequality given in (Pečarić et al. in Convex Functions, Partial Orderings, and Statistical Applications. Mathematics in Science and Engineering, vol.
G. Aras-Gazić +2 more
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Refining and reversing the weighted arithmetic–geometric mean inequality involving convex functionals and application for the functional entropy [PDF]
Journal of Inequalities and Applications, 2020 AbstractIn this paper, we present some refinements and reverses for some inequalities involving the weighted arithmetic mean and the weighted geometric mean of two convex functionals. Inequalities involving the Heinz functional mean are also obtained.
Mustapha Raïssouli, Mashael Almozini
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New refinement of the Jensen inequality associated to certain functions with applications
Journal of Inequalities and Applications, 2020 This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory.
Muhammad Adil Khan +2 more
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Kuwait Journal of Science, 2023 We take into account differences resulting from the discrete and integral cyclic Jensen's inequalities and provide upper and lower bounds using weighted Hermite-Hadamard inequalities with the support of Fink's identity.
Saad I. Butt +3 more
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Simpson Type Conformable Fractional Inequalities
Journal of Function Spaces, 2022 In this study, a new Simpson type conformable fractional integral equality for convex functions is established. Based on this identity, some results related to Simpson-like type inequalities are obtained.
Zeynep Şanlı
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