English
Related papers

Related papers: New Ostrowski type inequalities for m-convex funct…

200 papers

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

The ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The aim of this paper is to establish a new inequality using weight function which generalizes the inequalities of Dragomir, Wang and Cerone…

Classical Analysis and ODEs · Mathematics 2014-01-20 Ather Qayyum , Silvestru Sever Dragomir , Muhammad Shoaib , Muhammad Amir Latif

In this paper, we established some new inequalities via s-convex and s-concave functions.

Classical Analysis and ODEs · Mathematics 2012-12-11 Merve Avci Ardic , M. Emin Ozdemir

In this paper, we establish some Simpson type inequalities for functions whose third derivatives in the absolute value are h-convex and (\alpha,m)-convex, respectively.

Classical Analysis and ODEs · Mathematics 2012-10-17 Wenjun Liu

The author introduces the concept of harmonically s-convex functions and establishes some Ostrowski type inequalities and Hermite-Hadamard type inequality of these classes of functions.

Classical Analysis and ODEs · Mathematics 2013-07-22 Imdat Iscan

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 obtain some Simpson type inequalities for functions whose derivatives in absolute value are m- and (alpha,m)- logarithmically convex functions.

Classical Analysis and ODEs · Mathematics 2013-11-08 Ahmet Ocak Akdemir

In this paper, we obtain some Simpson type inequalities for functions whose derivatives in absolute value are $\varphi$-convex.

Functional Analysis · Mathematics 2012-07-10 M. Emin Ozdemir , Merve Avci , A. Ocak Akdemir

In this paper, we establish some integral inequalities for functions whose second derivatives in absolute value are ({\alpha},m)- convex.

Classical Analysis and ODEs · Mathematics 2011-08-16 M. Emin Özdemir , Merve Avci , Havva Kavurmaci

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

In this paper, we establish some new integral inequalities for for m- and (alpha,m)-logarithmically convex functions.

Classical Analysis and ODEs · Mathematics 2012-11-29 Mevlut Tunc

In this paper, we established a new Ostrowski-type inequality involving functions of two independent variables.

Classical Analysis and ODEs · Mathematics 2010-12-27 M. Emin Ozdemir , Ahmet Ocak Akdemir , Erhan Set

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

In this paper, the authors establish some new estimates for the remainder term of the midpoint, trapezoid, and Simpson formula using functions whose derivatives in absolute value at certain power are s-convex. Some applications to special…

Classical Analysis and ODEs · Mathematics 2014-04-04 Imdat Iscan , Erhan Set , M. Emin Ozdemir

In this paper, we obtain some new integral inequalities like Hermite-Hadamard type for third derivatives absolute value are log-convex. We give some applications to quadrature formula for midpoint error estimate.

Classical Analysis and ODEs · Mathematics 2014-05-30 Merve Avci Ardic , M. E. Ozdemir

We establish some new inequalities of Hermite-Hadamard type for functions whose fourth derivatives absolute values are quasi-convex. Further, we give new identity.Using this new identity, we establish similar inequalities for left-hand side…

Classical Analysis and ODEs · Mathematics 2016-02-17 Imran Abbas Baloch , Basharat Rehman Ali

Companions of Ostrowski's integral ineqaulity for absolutely continuous functions and applications for composite quadrature rules and for p.d.f.'s are provided.

Classical Analysis and ODEs · Mathematics 2025-10-20 Sever Silvestru Dragomir

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

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 note, we establish new an inequality of Ostrowski-type for double integrals involving functions of two independent variables by using fairly elementary analysis.

Classical Analysis and ODEs · Mathematics 2010-05-05 M. Z. Sarikaya