3,476 research outputs found
Improvement of an Ostrowski Type Inequality for Monotonic Mappings and its Application for Some Special Means
No full textWe first improve two Ostrowski type inequalities for monotonic functions, then provide its application for special means
On Weighted Ostrowski Type Inequalities for Operators and Vector-Valued Functions
No full textSome weighted Ostrowski type integral inequalities for operators and vector-valued functions in Banach spaces are given. Applications for linear operators in Banach spaces and differential equations are also provided
Ostrowski Type Inequalities for Functions whose Modulus of the Derivatives are Convex and Applications
No full textSome inequalities of the Ostrowski type for functions whose modulus of derivatives are convex and applications for special means and to the f and HH−divergences in Information theory are given
Some generalizations of Ostrowski inequality
No full text碩士在這篇論文我們建立了一些Ostrowski型態的不等式，推廣並改良前人所做的一些結果。In this paper, we establish some inequalities which improve some Ostrowski type inequalities.第一章:導論………………………………………………………………1
1.1:已建立的Ostrowski不等式
1.2:由Dragomir, Tseng, Yang跟Chou所建立的結果
第二章:一些加權的Ostrowski不等式的改良……………………………7
參考文獻…………………………………………………………………20學號: 603190066, 學年度: 10
An Ostrowski Type Inequality for Weighted Mappings with Bounded Second Derivatives
No full textA weighted integral inequality of Ostrowski type for mappings whose second derivatives are bounded is proved. The inequality is extended to account for applications in numerical integration
Better Bounds for an Inequality of the Ostrowski Type with Applications
No full textIn this paper we improve a recent result by Matić, Pečarić and Ujević [6] and apply it for special means and cumulative probability functions
NEW OSTROWSKI TYPE INEQUALITIES FOR m-CONVEX FUNCTIONS AND APPLICATIONS
No full textIn this paper we establish new inequalities of Ostrowski type, for functions whose derivatives in absolute value are m-convex. We also give some applications to special means of positive real numbers. Finally, we obtain some error estimates for the midpoint formula
Ostrowski's Inequality for Vector-Valued Functions and Applications
No full textSome Ostrowski type inequalities for vector-valued functions are obtained. Applications for operatorial inequalities and numerical approximation for the solutions of certain differential equations in Banach spaces are also
given
The Perturbed Median Principle for Integral Inequalities with Applications
No full textIn this paper a perturbed version of the Median Principle introduced
by the author in 'The median principle for inequalities and applications' is developed. Applications for various Riemann-
Stieltjes integral and Lebesgue integral inequalities are also provided
Multivariate fractional Ostrowski type inequalities
No full textAbstractOptimal upper bounds are given for the deviation of a value of a multivariate function of a fractional space from its average, over convex and compact subsets of RN,N≥2. In particular we work over rectangles, balls and spherical shells. These bounds involve the supremum and L∞ norms of related multivariate fractional derivatives of the function involved. The inequalities produced are sharp, namely they are attained. This work has been motivated by the works of Ostrowski [A. Ostrowski, Über die Absolutabweichung einer differentiebaren Funcktion von ihrem Integralmittelwert, Commentarii Mathematici Helvetici 10 (1938) 226–227], 1938, and of the author [G.A. Anastassiou, Fractional Ostrowski type inequalities, Communications in Applied Analysis 7 (2) (2003) 203–208], 2003
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