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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

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

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

The goal of the present article is to offer a number of new retarded nonlinear inequalities of Gronwall, Bellman and Pachpatte kind for a class of integral and integro-differential equations. These inequalities generalize and provide new…

General Mathematics · Mathematics 2023-10-11 Nagesh Kale

Several general mixed affine surface areas are introduced. We prove some important properties, such as, affine invariance, for these general mixed affine surface areas. We also establish new Alexandrov-Fenchel type inequalities,…

Metric Geometry · Mathematics 2012-01-26 Deping Ye

New lower bounds involving sum, difference, product, and ratio sets for $A\subset \C$ are given.

Combinatorics · Mathematics 2011-11-22 Misha Rudnev

The Grushin spaces, as one of the most important models in the Carnot-Carath\'eodory space, are a class of locally compact and geodesic metric spaces which admit a dilation. Function spaces on Grushin spaces and some related geometric…

Analysis of PDEs · Mathematics 2024-01-09 Nan Zhao , Zhiyong Wang , Pengtao Li , Yu Liu

An optimal 3-point quadrature formula of closed type is derived. Various error inequalities are established. Applications in numerical integration are also given.

Classical Analysis and ODEs · Mathematics 2025-10-20 Nenad Ujevic

In this paper, we established new inequalities of Ostrowski's type for the class of preinvex functions are introduced.

Classical Analysis and ODEs · Mathematics 2013-11-12 Imdat Iscan

In this paper, we provide some new generalizations of Feng Qi type integral inequalities on time scales by using elementary analytic methods.

Classical Analysis and ODEs · Mathematics 2016-01-05 Li Yin , Valmir Krasniqi

In this paper, for a Blaschke product of degree d, we give some geometrical properties that lie between the interior curve and the exterior curve.

Complex Variables · Mathematics 2018-09-05 Masayo Fujimura

We establish variation and oscillation inequalities for convolution products of probability measures on Z.

Classical Analysis and ODEs · Mathematics 2011-08-23 Karin Reinhold , Anna Savvopoulou

In this study, the orthogonalization process for different inner products is applied to pairwise comparisons. Properties of consistent approximations of a given inconsistent pairwise comparisons matrix are examined. A method of a derivation…

Other Computer Science · Computer Science 2020-02-18 W. W. Koczkodaj , R. Smarzewski , J. Szybowski

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

The class of the Riemannian almost product manifolds with nonintegrable structure is considered. Some identities for curvature tensor as certain invariant tensors and quantities are obtained.

Differential Geometry · Mathematics 2009-07-14 Dimitar Mekerov

Simple inequalities are established for integrals of the type $\int_0^x \mathrm{e}^{-\gamma t} t^{-\nu} \mathbf{L}_\nu(t)\,\mathrm{d}t$, where $x>0$, $0\leq\gamma<1$, $\nu>-\frac{3}{2}$ and $\mathbf{L}_{\nu}(x)$ is the modified Struve…

Classical Analysis and ODEs · Mathematics 2019-02-18 Robert E. Gaunt

Matrix inequalities that extend certain scalar ones have been at the center of numerous researchers' attention. In this article, we explore the celebrated subadditive inequality for matrices via concave functions and present a reversed…

Functional Analysis · Mathematics 2022-08-23 I. H. Gumus , H. R. Moradi , M. Sababheh

Some boundedness properties of function spaces (considered as topological groups) are studied.

General Topology · Mathematics 2017-10-31 L'ubica Holá , Ljubiša D. R. Kočinac

In this work, sharp Wirtinger type inequalities for double integrals are established. As applications, two sharp \v{C}eby\v{s}ev type inequalities for absolutely continuous functions whose second partial derivatives belong to $L^2$ space…

Classical Analysis and ODEs · Mathematics 2018-12-18 Mohammad W. Alomari

An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for…

Numerical Analysis · Mathematics 2025-10-20 Sever Silvestru Dragomir