Open AccessParametric generalized $ (p, q) $-integral inequalities and applications
Author(s) -
Kamsing laopon,
Muhammad Uzair Awan,
Sadia Talib,
Hüseyın Budak
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022690
Subject(s) - parametric statistics , identity (music) , mathematics , inequality , class (philosophy) , pure mathematics , algebra over a field , mathematical analysis , physics , computer science , statistics , artificial intelligence , acoustics
A new generalized $ (p, q) $-integral identity is derived. Using this new identity as an auxiliary result, we derive new parametric generalizations of certain integral inequalities using the class of $ s $-preinvex functions. We discuss several new and known special cases of the obtained results. This shows that our results are quite unifying. To demonstrate the significance of the main results, we also present some interesting applications.