Results 61 to 70 of about 7,690 (255)
Hermite-Hadamard-Fejér inequalities for double integrals
In this paper, we first obtain Hermite-Hadamard-Fejer inequalities for co-ordinated convex functions in a rectangle from the plane R2. Moreover, we give the some refinement of these obtained Hermite-Hadamard-Fejer inequalities utilizing two mapping. The inequalities obtained in this study provide generalizations of some result given in earlier works ...
Budak, Hüseyin, Sarıkaya, Mehmet Zeki
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Post-quantum trapezoid type inequalities
In this study, the assumption of being differentiable for the convex function f in the (p, q)-Hermite-Hadamard inequality is removed. A new identity for the right-hand part of (p, q)-Hermite-Hadamard inequality is proved.
Muhammad Amer Latif+3 more
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On inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional integrals
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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A New Hermite-Hadamard inequality for h-convex stochastic processes
Firstly, some new denitions which are the special cases of h convex stochastic proceses are given. Then, we establish a new renement of Hermite- Hadamard inequality for h convex stochastic proceses and give some special cases of this result.
Useyin Budak, M. Sarıkaya
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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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Some Further Results Using Green’s Function for s-Convexity
For s-convex functions, the Hermite–Hadamard inequality is already well-known in convex analysis. In this regard, this work presents new inequalities associated with the left-hand side of the Hermite–Hadamard inequality for s-convexity by utilizing a ...
Çetin Yildiz+3 more
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Some generalizations of Hermite-Hadamard type inequalities. [PDF]
Some generalizations and refinements of Hermite-Hadamard type inequalities related to [Formula: see text]-convex functions are investigated. Also applications for trapezoid and mid-point type inequalities are given.
Rostamian Delavar M, De La Sen M.
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Extensions of the Hermite-Hadamard inequality for convex functions via fractional integrals
The main aim of this paper is to give extension and refinement of the Hermite-Hadamard inequality for convex functions via Riemann-Liouville fractional integrals. We show how to relax the convexity property of the function f .
Feixiang Chen
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The Hermite Hadamard Inequality on Hypercuboid
Given any a := (a1; a2,... ; an) and b := (b1; b2;... ; bn) in Rn. The n-fold convex function dened on [a; b], a; b 2 Rn with a < b is a convex function in each variable separately. In this work we prove an inequality of Hermite-Hadamard type for n-fold convex functions. Namely, we establish the inequality
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In this paper, we introduce ( h 1 , h 2 ) $(h_{1},h_{2})$ -preinvex interval-valued function and establish the Hermite–Hadamard inequality for preinvex interval-valued functions by using interval-valued Riemann–Liouville fractional integrals.
Nidhi Sharma+3 more
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