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The aim of this paper is to obtain some generalized weighted Ostrowski inequalities for differentiable mappings. Some well known inequalities can be derived as special cases of the inequalities obtained here. In addition, perturbed…

Classical Analysis and ODEs · Mathematics 2014-01-29 Ather Qayyum , Silvestru Sever Dragomir , Muhammad Shoaib

In this paper, a new identity for differentiable functions is derived. Thus we can obtain new estimates on generalization of Hadamard,Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power…

Classical Analysis and ODEs · Mathematics 2012-08-01 Imdat Iscan

In this paper we obtained some new Hadamard-Type inequalities for functions whose derivatives absolute values m-convex. Some applications to special means of real numbers are given.

Classical Analysis and ODEs · Mathematics 2010-11-09 Cetin Yildiz , Mustafa Gurbuz , Ahmet Ocak Akdemir

In the paper, the authors find some new integral inequalities of Hermite-Hadamard type for functions whose derivatives of the $n$-th order are $(\alpha,m)$-convex and deduce some known results. As applications of the newly-established…

Classical Analysis and ODEs · Mathematics 2014-09-05 Feng Qi , Muhammad Amer Latif , Wen-Hui Li , Sabir Hussain

In this paper, we establish various inequalities for some mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose absolute values belong to the class K?;s m;1 and K?;s m;2.

Classical Analysis and ODEs · Mathematics 2013-08-20 Muhammad Muddassar , Ahsan Ali

In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are P-functions. Some applications to special means of real…

Classical Analysis and ODEs · Mathematics 2014-05-01 Imdat Iscan , Erhan Set , M. Emin Ozdemir

In this paper, we establish some integral ineuqalities for n- times differentiable convex functions.

Classical Analysis and ODEs · Mathematics 2013-10-04 Merve Avci Ardic

In this paper, we extend some estimates of the right hand side of a Hermite- Hadamard type inequality for nonconvex functions whose second derivatives absolute values are \phi-convex, log-\phi-convex, and quasi-\phi-convex.

Functional Analysis · Mathematics 2013-12-04 Mehmet Zeki Sarikaya , Hakan Bozkurt , Mehmet Eyüp Kiris

In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are ({\alpha},m)-convex.

Classical Analysis and ODEs · Mathematics 2012-07-24 Imdat Iscan

In this paper, we establish three inequalities for differentiable s-geometrically and geometrically convex functions which are connected with the famous Hermite-Hadamard inequality holding for convex functions. Some applications to special…

Classical Analysis and ODEs · Mathematics 2013-04-17 Mevlut Tunc

This short study consists of two parts, firstly we obtain some inequalities on Caputo Fractional derivatives using the elementary inequalities. Secondly we establish several new inequalities including Caputo fractional derivatives for…

Functional Analysis · Mathematics 2024-04-24 M. Emin Özdemir

In this paper we establish some new inequalities of Hadamard-type for product of convex and s-convex functions in the second sense.

Classical Analysis and ODEs · Mathematics 2012-02-13 Mevlut Tunc

In this paper, we establish some new inequalities of Ostrowski's type for functions whose derivatives in absolute value are the class of s-convex. Some applications for special means of real numbers are also provided. Finally, some error…

Classical Analysis and ODEs · Mathematics 2010-05-06 E. Set , M. E. Ozdemir , M. Z. Sarikaya

Some Hermite-Hadamard's mid-point type inequalities related to Katugampola fractional integrals are obtained where the first derivative of considered mappings is Lipschitzian or convex. Also some mid-point type inequalities are given for…

General Mathematics · Mathematics 2019-02-21 M. Rostamian Delavar

In this paper, an integral identity for twice differentiable functions is generalized. Then, by using convexity of |f''| or q-th power of |f''| and with the aid of power mean and Holder's inequalities we achieved some new results. We also…

Functional Analysis · Mathematics 2015-03-10 Mustafa Gurbuz , Abdullah Yaradilmis

In this paper the double-sided Talor's approximations are used to obtain generalisations and improvements of some trigonometric inequalities.

Classical Analysis and ODEs · Mathematics 2019-06-12 Branko Malesevic , Tatjana Lutovac , Marija Rasajski , Bojan Banjac

In this article, we employ a standard convex argument to obtain new and refined inequalities related to the matrix mean of two accretive matrices, the numerical radius and the Tsallis relative operator entropy.

Functional Analysis · Mathematics 2021-04-28 Hamid Reza Moradi , Shigeru Furuichi , Mohammad Sababheh

In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute value are convex and concave.Finally, we gave some applications for special means.

Functional Analysis · Mathematics 2012-10-24 M. Emin Özdemir , Merve Avci Ardic

In this paper we give refinements of some convex and log-convex moment inequalities of the first and second order using a special kind of positive semi-definite form. An open problem concerning eight parameter refinement of second order is…

Information Theory · Computer Science 2016-05-16 Slavko Simic

In this paper, the Authors establish a new identity for differentiable functions. By the well-known H\"older and power mean inequality, they obtain some integral inequalities related to the convex functions and apply these inequalities to…

Classical Analysis and ODEs · Mathematics 2014-06-30 Mevlut Tunc , Sevil Balgecti