نتایج جستجو برای: ostrowski type inequalities

تعداد نتایج: 1381193  

2011
M. W. ALOMARI

A new generalization of weighted companion for the Ostrowski and the generalized trapezoid inequalities for mappings of bounded variation are established.

Journal: :Computers & Mathematics with Applications 2010

Journal: :Turkish Journal of Analysis and Number Theory 2016

Journal: :Advances in the theory of nonlinear analysis and its applications 2022

We introduce the concept of exponentially $s$-convexity in second sense on a time scale interval. prove among other things that if $f: [a, b]\to \mathbb{R}$ is an $s$-convex function, then \begin{align*} &\frac{1}{b-a}\int_a^b f(t)\Delta t\\ &\leq \frac{f(a)}{e_{\beta}(a, x_0) (b-a)^{2s}}(h_2(a, b))^s+\frac{f(b)}{e_{\beta}(b, (b-a)^{2s}}(h_2(b, a))^s, \end{align*} where $\beta$ ...

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