New quantum boundaries for quantum Simpson’s and quantum Newton’s type inequalities for preinvex functions

نویسندگان

چکیده

Abstract In this research, we derive two generalized integral identities involving the $q^{\varkappa _{2}}$ q?2 -quantum integrals and quantum numbers, results are then used to establish some new boundaries for Simpson’s Newton’s inequalities q -differentiable preinvex functions. Moreover, obtain known type by considering limit $q\rightarrow 1^{-}$ xmlns:mml="http://www.w3.org/1998/Math/MathML">q?1? in key of paper.

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ژورنال

عنوان ژورنال: Advances in Difference Equations

سال: 2021

ISSN: ['1687-1839', '1687-1847']

DOI: https://doi.org/10.1186/s13662-021-03226-x