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Related papers: An Ostrowski Type Inequality for Convex Functions

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In this paper, we establish several new convex dominated functions and then we obtain new Hadamard type inequalities.

Classical Analysis and ODEs · Mathematics 2012-02-10 M. Emin Ozdemir , Havva Kavurmaci , Mevlut Tunc

In this paper, a general integral identity for convex functions is derived. Then, we establish new some inequalities of the Simpson and the Hermite-Hadamard's type for functions whose absolute values of derivatives are convex. Some…

Classical Analysis and ODEs · Mathematics 2010-05-18 M. Z. Sarikaya , N. Aktan

Several inequalities of Ostrowski-Gruss-type availabe in the literature are generalized by considering the weighted case of them. Involving the least concave majorant of the modulus of continuity we provide upper error bounds of such…

Classical Analysis and ODEs · Mathematics 2015-02-17 Ana Maria Acu , Heiner Gonska

In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities of Ostrowski-Gr\"uss type. From our results, the classical Ostrowski-Gr\"uss type inequalities can be deduced as some special…

Classical Analysis and ODEs · Mathematics 2012-03-15 Mehmet Zeki Sarikaya , Hatice Yaldiz

We disprove and correct some recently obtained results regarding Montgomery identity for quantum integral operator and Ostrowski type inequalities involving convex functions.

Functional Analysis · Mathematics 2021-09-17 Andrea Aglić Aljinović , Domagoj Kovačević , Mate Puljiz

In this paper, we extend some estimates of the right hand side of a Hermite-Hadamard type inequality for prequasiinvex functions via fractional integrals.

Classical Analysis and ODEs · Mathematics 2012-04-05 Imdat Iscan

In this paper some new inequalities are proved related to left hand side of Hermite-Hadamard inequality for the classes of functions whose derivatives of absolute values are m-convex. New bounds and estimations are obtained. Applications…

Classical Analysis and ODEs · Mathematics 2011-12-19 M. Emin Ozdemir , Ahmet Ocak Akdemir , Merve Avci

In this paper, the author obtains new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for Lipschitzian functions via Hadamard fractional integrals. Some applications to special means of positive reals…

Classical Analysis and ODEs · Mathematics 2014-05-16 Imdat Iscan

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. It is shown that such inequalities are simple consequences of…

Functional Analysis · Mathematics 2019-10-22 Silvestru Sever Dragomir , Berikbol T. Torebek

In this paper, we introduce the concept of operator geometrically convex functions for positive linear operators and prove some Hermite-Hadamard type inequalities for these functions. As applications, we obtain trace inequalities for…

Functional Analysis · Mathematics 2015-08-14 Ali Taghavi , Vahid Darvish , Haji Mohammad Nazari , Sever S. Dragomir

In this paper we achieve some new Hadamard type inequalities using elementary well known inequalities for functions whose first derivatives absolute values are s-geometrically and geometrically convex. And also we get some applications for…

Classical Analysis and ODEs · Mathematics 2013-02-06 Mevlut Tunc , Ibrahim Karabayir

In this paper, we extend some estimates of the left hand side of a Hermite- Hadamard type inequality for nonconvex functions whose derivatives absolute values are preinvex and log-preinvex.

Functional Analysis · Mathematics 2012-03-22 Mehmet Zeki Sarikaya , Hakan Bozkurt , Necmettin Alp

In this paper, we will improve and generalize inequality of Ostrowski type for mappings whose second derivatives belong to L$_{1}\left(a,b\right) $ . Some well known inequalities can be derived as special cases. In addition, perturbed…

Classical Analysis and ODEs · Mathematics 2015-03-31 Ather Qayyum , Ibrahima Faye , Muhammad Shoaib , Muhammad Amer Latif

The aim of this paper is to present some new Fejer-type results for convex functions. Improvements of Young's inequality (the arithmetic-geometric mean inequality) and other applications to special means are pointed as well.

Classical Analysis and ODEs · Mathematics 2012-03-22 N. Minculete , F. -C. Mitroi

In this paper, new identity for fractional integrals have been defined. By using of this identity, we obtained new general inequalities containing all of Hadamard, Ostrowski and Simpson type inequalities for for functions whose derivatives…

Classical Analysis and ODEs · Mathematics 2013-08-01 Imdat Iscan

In this paper, we establish several new inequalities for some twice differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.

Classical Analysis and ODEs · Mathematics 2012-06-12 Mehmet Zeki Sarikaya , Huseyin Yildirim

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 various inequalities for some differentiable mappings that are linked with the illustrious Hermite- Hadamard integral inequality for mappings whose derivatives are (h -($\alpha$?;m))-convex.The generalized…

Functional Analysis · Mathematics 2013-04-11 Muhammad Muddassar , Muhammad Iqbal Bhatti

In this paper, first we have established Hermite- Hadamard's inequalities for preinvex functions via fractional integrals. Second we extend some estimates of the right side of a Hermite- Hadamard type inequality for preinvex functions via…

Classical Analysis and ODEs · Mathematics 2014-03-04 Imdat Iscan

New identity similar to an identity of [13] for fractional integrals have been defined. Then making use of this identity, some new Ostrowski type inequalities for Riemann-Liouville fractional integral have been developed. Our results have…

Classical Analysis and ODEs · Mathematics 2013-04-01 Erhan Set
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