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Caputo $$\psi $$-Fractional Ostrowski Inequalities
2020Very general univariate mixed Caputo \(\psi \)-fractional Ostrowski type inequalities are presented. Estimates are with respect to \(\left\| \cdot \right\| _{p}\), \(1\le p\le \infty \). We give also applications. This chapter relies on [4].
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A note on Ostrowski like inequalities
2005The author has proved some new Ostrowski like inequalities using basic mathematical analysis. The results are of particular interest for ``class room material'' to be taught to students.
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Some new inequalities of Ostrowski type
2003The author establishes several Ostrowski type inequalities by assuming some special properties of the derivative of the function \(f\) around a given point \(x \in (a,b).\) In addition, several consequences of the results obtained are given. For completeness, we state one of the remarkable inequalities established in the paper.
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Exponential Pompeiu's type inequalities with applications to Ostrowski's inequality
2015In [Mathematica, Timisoara 22, 143--146 (1946; Zbl 0060.14601)], \textit{D. Pompeiu} derived a variant of Lagrange's mean value theorem, known as Pompeiu's mean value theorem. Its consequence is the Pompeiu inequality. In this paper, some Pompeiu-type inequalities for complex-valued absolutely continuous functions with exponential instead of identity ...
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