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In this paper, we present a time scale version of the Hermite-Hadamard inequality for functions convex on the coordinates via the diamond-$\alpha$ calculus. Our results are new and they generalize and extend a result due to Dragomir.

Dynamical Systems · Mathematics 2017-06-27 Eze R. Nwaeze

In this paper, we establish some new inequalities of Hadamard's type for L-Lipschitzian mapping in two variables.

Classical Analysis and ODEs · Mathematics 2011-12-30 M. Z. Sarikaya , H. Yaldiz

In this study, we obtain some new integral inequalities for different classes of convex functions by using some elementary inequalities and classical inequalities like general Cauchy inequality and Minkowski inequality.

Classical Analysis and ODEs · Mathematics 2012-02-10 M. Emin Ozdemir , Alper Ekinci , Ahmet Ocak Akdemir

In this paper, we define \varphi_{h,m}-convex functions and prove some inequalities for this class.

Functional Analysis · Mathematics 2012-05-23 M. E. Özdemir , M. Avci

In this paper, we establish a new refinement of the right-hand side of Hermite-Hadamard inequality for convex functions of several variables defined on simplices.

Classical Analysis and ODEs · Mathematics 2019-03-05 Monika Nowicka , Alfred Witkowski

In this paper, we obtained some new estimates on generalization of Hadamard, Ostrowski and Simpson-like type inequalities for harmonically quasi-convex functions via Riemann Liouville fractional integral.

Classical Analysis and ODEs · Mathematics 2014-01-14 İmdat İscan

In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute value are s-convex and s-concave.

Functional Analysis · Mathematics 2012-10-29 M. Emin Özdemir , Merve Avci Ardic

The main objective of present investigation to obtain some Minkowski-type fractional integral inequalities using generalised proportional Hadamard fractional integral operators which is introduced by Rahman et al in the paper (certain…

General Mathematics · Mathematics 2020-07-22 Asha B. Nale , Satish K. Panchal , Vaijanath L. Chinchane

This paper deals with more refinements of inequalities related to deviations from Mean Value involving superquadratic and uniformly convex functions.

Functional Analysis · Mathematics 2025-08-12 Shoshana Abramovich

In this paper we derive some Edmundson-Lah-Ribari\v{c} type inequalities for positive linear functionals and 3-convex functions. Main results are applied to the generalized f-divergence functional. Examples with Zipf Mandelbrot law are used…

General Mathematics · Mathematics 2021-01-25 Rozarija Mikić , Đilda Pečarić , Josip Pečarić

The main goal of this paper is to prove a Hermite-Hadamard type inequality for certain Schur convex functions using, as one of the main tools in the proof, a Korovkin-type approximation theorem.

Classical Analysis and ODEs · Mathematics 2020-01-01 Pál Burai , Judit Makó , Patrícia Szokol

Considering some parameters and by means of an inequality of Hadamard, we derive general half-discrete Hilbert-type inequalities. Then we highlight some special cases.

Functional Analysis · Mathematics 2016-01-06 Waleed Abuelela

We establish Hadamard-type inequalities for a class of symmetric matrices called $k$-positive matrices for which the $m$-th elementary symmetric functions of their eigenvalues are positive for all $m\leq k$. These matrices arise naturally…

Rings and Algebras · Mathematics 2021-12-14 Nam Q. Le

New identity for fractional integrals have been defined. By using of this identity, some new Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral have been developed. Our results have some relationships with the…

Functional Analysis · Mathematics 2012-02-03 M. Emin Ozdemir , Merve Avci , Havva Kavurmaci

In this paper, Hermite-Hadamard type inequality for Sugeno integrals based on log-convex functions is studied. Some examples are given to illustrate the results.

Classical Analysis and ODEs · Mathematics 2015-06-25 Sercan Turhan , Nurgül Okur Bekar , Hande Günay Akdemir

In this paper, we establish several new inequalities for n- time differentiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality.

Functional Analysis · Mathematics 2014-04-22 M. Emin Ozdemir , Cetin Yildiz

In this paper, we establish a new refinement of the left-hand side of Hermite-Hadamard inequality for convex functions of several variables defined on simplices.

Classical Analysis and ODEs · Mathematics 2018-01-08 Monika Nowicka , Alfred Witkowski

In this paper, we give a new inequality for convex functions of real variables, and we apply this inequality to obtain considerable generalizations, refinements, and reverses of the Young and Heinz inequalities for positive scalars.…

Functional Analysis · Mathematics 2017-03-23 Yousef Al-Manasrah , Fuad Kittaneh

This paper is devoted to a generalization of a Hadamard type inequality for the permanent of a complex square matrix. Our proof is based on a non-trivial extension of a technique used in Carlen, Lieb and Loss (Methods and Applications of…

Classical Analysis and ODEs · Mathematics 2019-02-28 Bero Roos

An important concept of convexificators has been extended to Hadamard manifolds in this paper. The mean value theorem for convexificators on the Hadamard manifold has also been derived. Monotonicity of the bounded convexificators has been…

Optimization and Control · Mathematics 2024-05-27 Nagendra Singh , Akhlad Iqbal , Shahid Ali
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