On Ostrowski Type Inequalities via the Extended Version of Montgomery’s Identity

نویسندگان

چکیده

In this paper, we obtain new Ostrowski type inequalities by using the extended version of Montgomery identity and Green’s functions. We also give estimations difference between two integral means.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On some Ostrowski type inequalities

In this paper we study Ostrowski type inequalities. We generalize some of the results presented in [1]. 2000 Mathematical Subject Classification: 26D15

متن کامل

Fuzzy Ostrowski type inequalities

We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over [a, b] ⊂ R, error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions. These inequalities are given for fuzzy Hölder and fuzzy differentiable functions and these facts are reflected ...

متن کامل

High order Ostrowski type inequalities

We generalize Ostrowski inequality for higher order derivatives, by using a generalized Euler type identity. Some of the inequalities produced are sharp, namely attained by basic functions. The rest of the estimates are tight. We give applications to trapezoidal and mid-point rules. Estimates are given with respect to L∞ norm. c © 2006 Elsevier Ltd. All rights reserved.

متن کامل

Some General Ostrowski Type Inequalities

A new general Ostrowski type inequality for functions whose (n − 1)th derivatives are continuous functions of bounded variation is established. Some special cases are discussed.

متن کامل

Integral Inequalities of the Ostrowski Type

Integral inequalities of Ostrowski type are developed for n−times differentiable mappings, with multiple branches, on the L∞ norm. Some particular inequalities are also investigated, which include explicit bounds for perturbed trapezoid, midpoint, Simpson’s, NewtonCotes and left and right rectangle rules. The results obtained provide sharper bounds than those obtained by Dragomir [5] and Cerone...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematics

سال: 2022

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math10071113