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In this paper, we establish some new general Opial inequalities for Widder derivatives.

Functional Analysis · Mathematics 2014-03-12 Sajid Iqbal , Josip Pecarić

In this work, an extension of two-point Ostrowski's formula for $n$-times differentiable functions is proved. A generalization of Taylor formula is deduced. An identity of Fink type for this extension is provided. Error estimates for the…

Classical Analysis and ODEs · Mathematics 2019-05-24 Mohammad W. Alomari

In this paper, we develop a basic theory of Orlicz affine and geominimal surface areas for convex and $s$-concave functions. We prove some basic properties for these newly introduced functional affine invariants and establish related…

Metric Geometry · Mathematics 2016-06-07 Umut Caglar , Deping Ye

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

A generalisation of inner product spaces of an inequality due to Ostrowski and applications for sequences and integrals are given.

Classical Analysis and ODEs · Mathematics 2007-05-23 Sever S. Dragomir , Anca C. Gosa

In this paper, some new inequalities of the Hermite-Hadamard type for h- convex functions whose modulus of the derivatives are h-convex and applications for special means are given.

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

The main objective of this paper is to study some Ostrowski and Trapezoid type inequalities for double integrals on Time Scales. Some other interesting inequalities are also given.

Classical Analysis and ODEs · Mathematics 2018-07-27 Deepak B. Pachpatte

In this paper we first generalize the Ostrowski inequality on time scales for k points and then unify corresponding continuous and discrete versions. We also point out some particular Ostrowski type inequalities on time scales as special…

Functional Analysis · Mathematics 2011-04-05 Wenjun Liu , Quoc Anh Ngo

In this paper, we establish some new inequalities for class of SX(h,I) convex functions which are supermultiplicative or superadditive and nonnegative. And we also give some applications for special means.

Classical Analysis and ODEs · Mathematics 2014-02-03 Mevlut Tunc

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

Classical Analysis and ODEs · Mathematics 2013-11-25 Merve Avci Ardic

In this paper, we establish some weighted fractional inequalities for differentiable mappings whose derivatives in absolute value are convex. These results are connected with the celebrated Hermite-Hadamard-Fejer type integral inequality.…

Classical Analysis and ODEs · Mathematics 2014-09-19 Erhan Set , Imdat Iscan , M. Zeki Sarikaya , M. Emin Ozdemir

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 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 establish (presumably new type) integral inequalities for convex functions via the Hermite--Hadamard's inequalities. As applications, we apply these new inequalities to construct inequalities involving special means of…

Classical Analysis and ODEs · Mathematics 2017-11-28 Khaled Mehrez , Praveen Agarwal

In this paper, we obtain some new inequalities for functions whose second derivatives' absolute value is s-convex and log-convex. Also, we give some applications for numerical integration.

Classical Analysis and ODEs · Mathematics 2014-09-04 Ahmet Ocak Akdemir , Merve Avci Ardic , M. Emin Özdemir

New identity for fractional integrals have been defined. By using of this identity, we obtained new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for s-convex, quasi-convex, m-convex functions via Riemann…

Classical Analysis and ODEs · Mathematics 2012-08-09 Imdat Iscan

In this paper, new sharp weighted generalizations of Ostrowski and generalized trapezoid type inequalities for the Riemann--Stieltjes integrals are proved. Several related inequalities are deduced and investigated. New Simpson's type…

Classical Analysis and ODEs · Mathematics 2014-08-08 Mohammad W. Alomari

In this paper, we obtain some Simpson type inequalities for functions whose second derivatives absolute value or q-th power of them are Q-class functions. Also we give applications to numerical integration.

Classical Analysis and ODEs · Mathematics 2012-07-11 M. Emin Ozdemir , Alper Ekinci , Mustafa Gurbuz , Ahmet Ocak Akdemir

In this paper, we establish new some Hermite-Hadamard's type inequalities of convex functions of 2-variables on the co-ordinates.

Classical Analysis and ODEs · Mathematics 2013-04-03 M. Z. Sarikaya , E. Set , M. E. Ozdemir , S. S. Dragomir

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