Results 41 to 50 of about 6,381 (249)
Hermite-Hadamard type inequalities with applications [PDF]
Miskolc Mathematical Notes, 2020 Summary: The main objective of this article is to obtain some new estimates related to Hermite-Hadamard-like integral inequalities essentially using the class of \(h\)-convex functions. For this we first derive a new integral identity which will serve as an auxiliary result for obtaining the main results of the article.
Awan, M. U. +5 more
openaire +3 more sources
Advances in Difference Equations, 2021 In this paper, we obtain new Hermite–Hadamard-type inequalities for r-convex and geometrically convex functions and, additionally, some new Hermite–Hadamard-type inequalities by using the Hölder–İşcan integral inequality and an improved power-mean ...
Muhammad Amer Latif
doaj +1 more source
Some Hermite–Jensen–Mercer type inequalities for k-Caputo-fractional derivatives and related results
Advances in Difference Equations, 2020 In this paper, certain Hermite–Hadamard–Mercer type inequalities are proved via k-Caputo fractional derivatives. We established some new k-Caputo fractional derivatives inequalities with Hermite–Hadamard–Mercer type inequalities for differentiable ...
Shupeng Zhao +5 more
doaj +1 more source
New Hermite–Hadamard type inequalities for n-polynomial harmonically convex functions
Journal of Inequalities and Applications, 2020 In the article, we introduce a class of n-polynomial harmonically convex functions, establish their several new Hermite–Hadamard type inequalities which are the generalizations and variants of the previously known results for harmonically convex ...
M. U. Awan +4 more
semanticscholar +1 more source
Inequalities of Hermite-Hadamard Type [PDF]
Moroccan Journal of Pure and Applied Analysis, 2015 AbstractSome inequalities of Hermite-Hadamard type for λ-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well.
openaire +2 more sources
Inequalities Pertaining Fractional Approach through Exponentially Convex Functions
Fractal and Fractional, 2019 In this article, certain Hermite-Hadamard-type inequalities are proven for an exponentially-convex function via Riemann-Liouville fractional integrals that generalize Hermite-Hadamard-type inequalities.
Saima Rashid +2 more
doaj +1 more source
International Journal of Computational Intelligence Systems, 2022 In this article, the notion of interval-valued preinvex functions involving the Riemann–Liouville fractional integral is described. By applying this, some new refinements of the Hermite–Hadamard inequality for the fractional integral operator are ...
H. Srivastava +4 more
semanticscholar +1 more source
Hermite-Hadamard Type Inequalities with Applications
Fasciculi Mathematici, 2017 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
openaire +2 more sources
On the Hermite-Hadamard Type Inequalities for Fractional Integral Operator [PDF]
Kragujevac Journal of Mathematics, 2020 Summary: In this paper, using a general class of fractional integral operators, we establish new fractional integral inequalities of Hermite-Hadamard type. The main results are used to derive Hermite-Hadamard type inequalities involving the familiar Riemann-Liouville fractional integral operators.
Yaldiz, H., Sarıkaya, Mehmet Zeki
openaire +3 more sources
On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals
, 2017 In this paper, we have established Hermite-Hadamard-type inequalities for fractional integrals and will be given an identity. With the help of this fractional-type integral identity, we give some integral inequalities connected with the left-side of ...
M. Sarıkaya, H. Yildirim
semanticscholar +1 more source