Abstract
In this work, first, we consider novel parameterized identities for the left and right part of the -analogue of Hermite–Hadamard inequality. Second, using these new parameterized identities, we give new parameterized -trapezoid and parameterized -midpoint type integral inequalities via -quasiconvex function. By changing values of parameter , some new special cases from the main results are obtained and some known results are recaptured as well. Finally, at the end, an application to special means is given as well. This new research has the potential to establish new boundaries in comparative literature and some well-known implications. From an application perspective, the proposed research on the -quasiconvex function has interesting results that illustrate the applicability and superiority of the results obtained.
Highlights
IntroductionUsually referred as q-calculus, is a numerical technique that examines calculus without limits
Quantum calculus, usually referred as q-calculus, is a numerical technique that examines calculus without limits
The genius who created the analytical q-calculus in the eighteenth century was the great mathematician L
Summary
Usually referred as q-calculus, is a numerical technique that examines calculus without limits. One of the most important results in convex analysis is the Hermite–Hadamard type inequality, which offers a necessary and sufficient condition for a function to be convex This classic Hermite and Hadamard result is as follows. =. During a period in the early twentieth century, Jackson made substantial changes to the classical notion of a derivative of a function, enabling a more straightforward study of fundamental calculus and number theory in this examination. [18] Suppose that a function H : [e1 , e2 ] → R is continuous, the ( p, q)e1 definite integral of H at [e1 , e2 ] is defined as follows: qn q qn.
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
