@article{Vivas-Cortez2022, 
author = {Miguel Vivas-Cortez and Muhammad Zakria Javed and Muhammad Uzair Awan and Artion Kashuri and Muhammad Aslam Noor},
title = {Generalized    (  p  ,  q  )-analogues of Dragomir-Agarwal's inequalities involving Raina's function and applications},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {6},
pages = {11464-11486},
keywords = {Dragomir-Agarwal's inequality, Hölder inequality, power-mean inequality, generalized strongly convex functions, Raina's function, post-quantum calculus},
url = {https://www.sciopen.com/article/10.3934/math.2022639},
doi = {10.3934/math.2022639},
abstract = {In this paper, we introduce the class of generalized strongly convex functions using Raina's function. We derive two new general auxiliary results involving first and second order    (  p  ,  q  )-differentiable functions and Raina's function. Essentially using these identities and the generalized strongly convexity property of the functions, we also found corresponding new generalized post-quantum analogues of Dragomir-Agarwal's inequalities. We discuss some special cases about generalized convex functions. To support our main results, we offer applications to special means, to hypergeometric functions, to Mittag-Leffler functions and also to    (  p  ,  q  )-differentiable functions of first and second order that are bounded in absolute value.}
}