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Hermite-Hadamard Type Inequalities with Applications
AbstractIn this article first, we give an integral identity and prove some Hermite-Hadamard type inequalities for the function f such that |f″|qis convex or concave for q ≥ 1. Second, by using these results, we present applications to f-divergence measures.
Khan, M. Adil +2 more
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Some Hermite-Hadamard type inequalities in the class of hyperbolic p-convex functions
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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Approximate Hermite-Hadamard type inequalities for approximately convex functions [PDF]
In this paper, approximate lower and upper Hermite--Hadamard type inequalities are obtained for functions that are approximately convex with respect to a given Chebyshev ...
Makó, Judit, Páles, Zsolt
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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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Hermite–Hadamard and Hermite–Hadamard–Fejér type inequalities for generalized fractional integrals
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.
Chen, Hua, Katugampola, Udita N.
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Refinements on the discrete Hermite–Hadamard inequality [PDF]
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Atıcı, Ferhan M., Yaldız, Hatice
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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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In this paper, we give and study the concept of n-polynomial ( s , m ) $(s,m)$ -exponential-type convex functions and some of their algebraic properties. We prove new generalization of Hermite–Hadamard-type inequality for the n-polynomial ( s , m ) $(s,m)
Saad Ihsan Butt +5 more
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In the paper, the authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals.
Xue-Xiao You +4 more
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Some Hadamard–Fejér Type Inequalities for LR-Convex Interval-Valued Functions
The purpose of this study is to introduce the new class of Hermite–Hadamard inequality for LR-convex interval-valued functions known as LR-interval Hermite–Hadamard inequality, by means of pseudo-order relation ( ≤p ).
Muhammad Bilal Khan +4 more
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