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

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

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 exp...

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Bibliographic Details
Main Authors: Muhammad Uzair Awan, Sadia Talib, Artion Kashuri, Muhammad Aslam Noor, Khalida Inayat Noor, Yu-Ming Chu
Format: Article
Language:English
Published: SpringerOpen 2020-10-01
Series:Advances in Difference Equations
Subjects:
Hermite–Hadamard inequality
Hölder inequality
Power mean inequality
Convexity
Generalized exponentially μ-preinvex function
Quantum calculus
Online Access:http://link.springer.com/article/10.1186/s13662-020-03036-7

Internet

http://link.springer.com/article/10.1186/s13662-020-03036-7

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