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Some weighted Ostrowski‐type inequalities for differentiable preinvex functions

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In this study, we establish a new weighted integral identity and used it to establish some new weighted Ostrowski‐type inequalities for functions whose modulus of the first derivatives are preinvex,… Click to show full abstract

In this study, we establish a new weighted integral identity and used it to establish some new weighted Ostrowski‐type inequalities for functions whose modulus of the first derivatives are preinvex, which the obtained results represent generalizations as well as refinements for some known results. Finally, we explain our results by giving some applications dealing with the random variables and the special means.

Keywords: inequalities differentiable; ostrowski type; weighted ostrowski; type inequalities; differentiable preinvex

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2021

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