Results 61 to 70 of about 7,920 (230)
AIMS Mathematics, 2023 In optimization, convex and non-convex functions play an important role. Further, there is no doubt that convexity and stochastic processes are closely related.
M. Abbas, W. Afzal, T. Botmart, A. Galal
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Double integral inequalities of Hermite-Hadamard type for h-convex functions on linear spaces [PDF]
, 2016 Some double integral inequalities of Hermite–Hadamard type for h-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well.
Dragomir, Sever S
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Hermite-Hadamard Type Inequalities Involving k-Fractional Operator for (h¯, m)-Convex Functions
Symmetry, 2021 The principal motivation of this paper is to establish a new integral equality related to k-Riemann Liouville fractional operator. Employing this equality, we present several new inequalities for twice differentiable convex functions that are associated ...
S. Sahoo +5 more
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Hermite-Hadamard type inequalities for subadditive functions
AIMS Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Applied Mathematics, 2014 We obtain some Hermite-Hadamard type inequalities for s-convex functions on the coordinates via Riemann-Liouville integrals. Some integral inequalities with the right-hand side of the fractional Hermite-Hadamard type inequality are also established.
Feixiang Chen
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A general multidimensional Hermite–Hadamard type inequality
Journal of Mathematical Analysis and Applications, 2009 The classical Hermite-Hadamard inequality states that for a real convex function \(f\) on an interval \([a,b]\), \[ f\biggl({a+b\over2}\biggr)\leq{1\over b-a}\int_a^b f(x)dx\leq{f(a)+f(b)\over2}. \] This may be expressed in probabilistic terms in the form \[ f(E\xi)\leq Ef(\xi)\leq Ef(\xi^*), f\in C_{cx},\eqno(1) \] where \(E\) denotes expected value, \
de la Cal, Jesús +2 more
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HERMITE–HADAMARD TYPE INEQUALITIES FOR KATUGAMPOLA FRACTIONAL INTEGRALS
Journal of Applied Analysis & Computation, 2023 Summary: In the paper, basing on the Katugampola fractional integrals \({}^\rho\mathcal{K}^\alpha_{a+}f\) and \({}^\rho\mathcal{K}^\alpha_{b-}f\) with \(f\in\mathfrak{X}_c^p(a, b) \), the authors establish the Hermite-Hadamard type inequalities for convex functions, give their left estimates, and apply these newly-established inequalities to special ...
Wang, Shu-Hong, Hai, Xu-Ran
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Some Hermite-Hadamard type inequalities in the class of hyperbolic p-convex functions
, 2019 In this paper, obtained some new class of Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities via fractional integrals for the p-hyperbolic convex functions.
Dragomir, Silvestru Sever +1 more
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Journal of Inequalities and Applications, 2019 In the article, we present several Hermite–Hadamard type inequalities for the co-ordinated convex and quasi-convex functions and give an application to the product of the moment of two continuous and independent random variables.
M. Latif, S. Rashid, S. Dragomir, Y. Chu
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Journal of Function Spaces, 2020 In this article, we establish some new Hermite–Hadamard-type inequalities involving the conformable fractional integrals. As applications, several inequalities for the approximation error in the midpoint formula and certain bivariate means are derived.
Arshad Iqbal, M. Khan, S. Ullah, Y. Chu
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