History, Generalizations and Unified Treatment of Two Ostrowski’s Inequalities
نویسنده
چکیده
In this paper we present a historical review of the investigation of two Ostrowski inequalities and describe several distinct streams for their generalizations. Also we point out some new methods to obtain known results and give a number of new results related to Ostrowski’s inequalities.
منابع مشابه
On Generalizations of Hadamard Inequalities for Fractional Integrals
Fej'{e}r Hadamard inequality is generalization of Hadamard inequality. In this paper we prove certain Fej'{e}r Hadamard inequalities for $k$-fractional integrals. We deduce Fej'{e}r Hadamard-type inequalities for Riemann-Liouville fractional integrals. Also as special case Hadamard inequalities for $k$-fractional as well as fractional integrals are given.
متن کاملGeneral Hardy-Type Inequalities with Non-conjugate Exponents
We derive whole series of new integral inequalities of the Hardy-type, with non-conjugate exponents. First, we prove and discuss two equivalent general inequa-li-ties of such type, as well as their corresponding reverse inequalities. General results are then applied to special Hardy-type kernel and power weights. Also, some estimates of weight functions and constant factors are obtained. ...
متن کاملOn Bernstein Type Inequalities for Complex Polynomial
In this paper, we establish some Bernstein type inequalities for the complex polynomial. Our results constitute generalizations and refinements of some well-known polynomial inequalities.
متن کاملOstrowski’s Type Inequalities for Complex Functions Defined on Unit Circle with Applications for Unitary Operators in Hilbert Spaces
متن کامل
The Comparison of the Effectiveness of Schema Therapy and Unified Transdiagnostic Treatment of Emotional Disorders on Tendency to Drugs in Men Undergoing Methadone Maintenance Treatment
Objective: The aim of this study was to compare the effectiveness of schema therapy and unified transdiagnostic treatment of emotional disorders on tendency to drugs in men undergoing methadone maintenance treatment. Method: The present study was a quasi-experimental with pretest-posttest design and follow-up with a control group. The statistical population of the present study included all men...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004