Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals
International Journal of Analysis and Applications, 2018 The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola ...
Erhan Set, Ilker Mumcu
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REFINING RECURSIVELY THE HERMITE–HADAMARD INEQUALITY ON A SIMPLEX
Bulletin of the Australian Mathematical Society, 2015 In the present paper, a coupled algorithm refining recursively the Hermite–Hadamard inequality on a simplex is investigated. Our approach allows us to express the integral mean value $M_{f}$ of a convex function $f$ on a simplex as both the limit of ...
M. Raïssouli, S. Dragomir
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Hermite-Hadamard type inequalities for subadditive functions
AIMS Mathematics, 2020 In this paper, we will consider subadditive functions that take an important place not only in mathematics but also in physics and many other fields of science. Subadditive functions are very important also in economics and, specifically, in financial mathematics where subadditive discount functions describe certain behaviors in intertemporal choice ...
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Hermite–Hadamard and Hermite–Hadamard–Fejér type inequalities for generalized fractional integrals
Journal of Mathematical Analysis and Applications, 2017 In this paper we obtain the Hermite-Hadamard and Hermite-Hadamard-Fej r type inequalities for fractional integrals which generalize the two familiar fractional integrals namely, the Riemann-Liouville and the Hadamard fractional integrals into a single form.
Udita N. Katugampola, Hua Chen
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A Prékopa-Leindler type inequality of the $L_p$ Brunn-Minkowski inequality [PDF]
arXiv, 2020 In this paper, we prove a Pr\'ekopa-Leindler type inequality of the $L_p$ Brunn-Minkowski inequality. It extends an inequality proved by Das Gupta [8] and Klartag [16], and thus recovers the Pr\'ekopa-Leindler inequality. In addition, we prove a functional $L_p$ Minkowski inequality.
arxiv
On Certain Integral Inequalities Related to Hermite–Hadamard Inequalities
Journal of Mathematical Analysis and Applications, 1999 AbstractIn this paper, we establish some new Hermite–Hadamard inequalities.
Kuei-Lin Tseng +2 more
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On Some Generalized Fractional Integral Inequalities for p-Convex Functions
Fractal and Fractional, 2019 In this paper, firstly we have established a new generalization of Hermite−Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann−Liouville fractional integral operators introduced by Raina ...
Seren Salaş +3 more
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A note on the Hermite-Hadamard inequality for convex functions on the co-ordinates
, 2014 In this paper, we obtain some new Hermite-Hadamard-type inequalities for convex functions on the co-ordinates. We conclude that the results obtained in this work are the refinements of the earlier results. Mathematics subject classification (2010): 26D15,
Feixiang Chen
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New Estimates for Exponentially Convex Functions via Conformable Fractional Operator
Fractal and Fractional, 2019 In this paper, we derive a new Hermite–Hadamard inequality for exponentially convex functions via α -fractional integral. We also prove a new integral identity.
Saima Rashid +2 more
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A Gordon-Chevet type Inequality [PDF]
arXiv, 1991 We prove a new inequality for Gaussian processes, this inequality implies the Gordon-Chevet inequality. Some remarks on Gaussian proofs of Dvoretzky's theorem are given.
arxiv