Results 61 to 70 of about 7,964 (239)
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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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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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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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
semanticscholar +1 more source
Since the so-called Hermite-Hadamard type inequalities for convex functions were presented, their generalizations, refinements, and variants involving various integral operators have been extensively investigated. Here we aim to establish several Hermite-Hadamard inequalities and Hermite- Hadamard-Fejer type inequalities for symmetrized ...
Set, Erhan +2 more
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Abstract Convexity and Hermite-Hadamard Type Inequalities [PDF]
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Gabil R. Adilov, Serap Kemali
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New Inequalities and an Integral Expression for the 𝒜‐Berezin Number
This work examines a reproducing kernel Hilbert space XF,·,· constructed on a nonempty set F. Our investigation focuses on the A‐Berezin number and the A‐Berezin norm, where A denotes a positive bounded linear operator acting on XF. For an A‐bounded linear operator B, the A‐Berezin seminorm is defined by BberA=supλ,ν∈FBu∧λ,u∧νA, where u∧λ and u∧ν are ...
Salma Aljawi +4 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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ABSTRACT The significance of the Jensen inequality stems from its impactful and compelling outcomes. As a generalization of classical convexity, it plays a key role in deriving other well‐known inequalities such as Hermite–Hadamard, Hölder, Minkowski, arithmetic‐geometric, and Young's inequalities.
İzzettin Demir
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