A new q-integral identity and estimation of its bounds involving generalized exponentially μ-preinvex functions

Authors :: Muhammad Uzair Awan
Muhammad Aslam Noor
Artion Kashuri
Khalida Inayat Noor
Sadia Talib
Yu-Ming Chu
Source :: Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-12 (2020)
Publication Year :: 2020
Publisher :: SpringerOpen, 2020.
Abstract: In the article, we introduce the generalized exponentially μ-preinvex function, derive a new q-integral identity for second order q-differentiable function, and establish several new q-trapezoidal type integral inequalities for the function whose absolute value of second q-derivative is exponentially μ-preinvex.

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