Abstract
The main objective of this paper is to derive a new post quantum integral identity using twice (p,q)-differentiable functions. Using this identity as an auxiliary result, we obtain some new post quantum estimates of upper bounds involving twice (p,q)-differentiable preinvex functions.
Highlights
IntroductionIntroduction and preliminariesThe quantum calculus is often regarded as calculus without limits, we obtain q-analogues of mathematical objects which can be recaptured by taking q → 1–
1 Introduction and preliminaries The quantum calculus is often regarded as calculus without limits, we obtain q-analogues of mathematical objects which can be recaptured by taking q → 1
Tariboon et al [23] introduced the notions of q-derivatives and q-integrals on finite intervals and developed several new q-analogues of classical inequalities
Summary
Introduction and preliminariesThe quantum calculus is often regarded as calculus without limits, we obtain q-analogues of mathematical objects which can be recaptured by taking q → 1–. The subject of quantum calculus can be traced back to Euler and Jacobi, but in recent decades it has experienced a rapid development. This can be attributed to the fact that it serves as a bridge between mathematics and physics. Tariboon et al [23] introduced the notions of q-derivatives and q-integrals on finite intervals and developed several new q-analogues of classical inequalities. This particular article inspired many researchers working in the field of inequalities, particulary inequalities involving convexity and its generalizations. Sudsutad et al [22] and Noor et al [20]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
