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In this paper, we prove some operator inequalities associated with an extension of the Kantorovich type inequality for $s$-convex function. We also give an application to the order preserving power inequality of three variables and find a…

Functional Analysis · Mathematics 2022-10-11 Ismail Nikoufar , Davuod Saeedi

First and second-order inequalities of Friedrichs type for Sobolev functions in arbitrary domains are offered. The relevant inequalities involve optimal norms and constants that are independent of the geometry of the domain. Parallel…

Analysis of PDEs · Mathematics 2020-12-01 Andrea Cianchi , Vladimir Maz'ya

In this paper, new inequalities connected with the celebrated Steffensen's integral inequality are proved.

Classical Analysis and ODEs · Mathematics 2016-04-08 M. W. Alomari , S. Hussain , Z. Liu

An inequality providing some bounds for the integral mean via Pompeiu's mean value theorem and applications for quadrature rules and special means are given.

Classical Analysis and ODEs · Mathematics 2007-05-23 Sever Silvestru Dragomir

We have recently established some integral inequalities for convex functions via the Hermite-Hadamard's inequalities. In continuation here, we also establish some interesting new integral inequalities for convex functions via the…

Classical Analysis and ODEs · Mathematics 2017-04-04 Khaled Mehrez , Praveen Agarwal

In the paper, the authors introduce a new concept "extended $s$-convex functions", establish some new integral inequalities of Hermite-Hadamard type for this kind of functions, and apply these inequalities to derive some inequalities of…

Classical Analysis and ODEs · Mathematics 2015-06-02 Bo-Yan Xi , Feng Qi

In this paper, we establish some inequalities for rational functions with prescribed poles having s-fold zeros at origin and also show that it implies some inequalities for polynomials and their polar derivatives.

Complex Variables · Mathematics 2025-02-24 Preeti Gupta

In this paper, we prove some new inequalities of Hadamard-type for convex functions on the co-ordinates.

Classical Analysis and ODEs · Mathematics 2012-03-21 M. Emin Ozdemir , Ahmet Ocak Akdemir , Mevlut Tunc

In this paper, new sharpened Huygens type inequalities involving Bessel and modified Bessel functions of the first kinds are established

Classical Analysis and ODEs · Mathematics 2015-12-21 Khaled Mehrez

In this article, Bohr type inequalities for some complex valued harmonic functions defined on the unit disk are given. All the results are sharp.

Complex Variables · Mathematics 2025-02-06 Jianying Zhou , Wanqing Hou , Boyong Long

In this paper, new integral inequalities of Hadamard type involving several differentiable \Phi-r-convex functions are given.

Classical Analysis and ODEs · Mathematics 2012-03-13 Mehmet Zeki Sarikaya , Hatice Yaldiz , Hakan Bozkurt

In this research, Minkowski type functions which are constructed on certain probability distributions, are introduced. There are investigated differential, integral, and other properties of these functions.

Functional Analysis · Mathematics 2025-01-14 Symon Serbenyuk

In this paper, we first prove two new identities for multiplicative differentiable functions. Based on this identity, we establish a midpoint and trapezoid type inequalities for multiplicatively convex functions. Applications to special…

Classical Analysis and ODEs · Mathematics 2022-08-02 Berhail Amel , Meftah Badreddine

In this paper, the authors establish a new type integral inequalities for differentiable s-convex functions in the second sense. By the well-known H\"older inequality and power mean inequality, they obtain some integral inequalities related…

Classical Analysis and ODEs · Mathematics 2014-07-07 Mevlut Tunc , Sevil Balgecti

In the present paper we establish some new integral inequalities analogous to the well known Hadamard inequality by using a fairly elementary analysis.

Classical Analysis and ODEs · Mathematics 2012-01-16 Mevlut Tunc , S. Ugur Kirmaci

In recent years, new classes of convex functions have been introduced in order to generalize the results and to obtain new estimations. We also introduce the concept of harmonically convex functions on the co-ordinates. Also, we establish…

Classical Analysis and ODEs · Mathematics 2014-04-28 Erhan Set , Imdat Iscan

Some selected Ostrowski type inequalities and a connection with numerical integration are studied in this survey paper, which is dedicated to the memory of Professor D.S. Mitrinovic, who left us 25 years ago. His significant influence to…

Numerical Analysis · Mathematics 2020-11-03 Gradimir V. Milovanovic

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

In this paper we established new integral inequalities which are more general results for coordinated convex functions on the coordinates by using some classical inequalities.

Classical Analysis and ODEs · Mathematics 2011-07-21 M. Emin Ozdemir , Cetin Yildiz , Ahmet 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
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