Some Integral Inequalities Using Quantum Calculus Approach

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Muhammad Uzair Awan, Muhammad Aslam Noor, Khalida Inayat Noor, Some Integral Inequalities Using Quantum Calculus Approach, Int. J. Anal. Appl., 15 (2) (2017), 125-137.

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Muhammad Uzair Awan, Muhammad Aslam Noor, Khalida Inayat Noor

Abstract

The aim of this paper is to introduce a new class of preinvex functions which is called as generalized beta preinvex functions. We show that this class includes some other new classes of preinvex functions. We derive some new integral inequalities using the approach of quantum calculus. These integral inequalities involve generalized preinvex functions and q-Euler-Beta functions. Our results can be viewed as new quantum estimates for trapezoidal like inequalities. Some new special cases are also discussed which can be deduced from the main results of the paper.

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