Open AccessNew inequalities for strongly exponentially generalized functions with applications
Author(s) -
Artion Kashuri,
Rozana Liko
Publication year - 2022
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.226
H-Index - 12
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-3641
Subject(s) - exponential growth , mathematics , quadrature (astronomy) , modulus of continuity , type (biology) , mathematical analysis , riemann hypothesis , class (philosophy) , pure mathematics , physics , ecology , artificial intelligence , computer science , optics , biology
The aim of this paper is to introduce a new class of functions called strongly exponentially generalized (m, ν1, ν2, g1, g2). Some new integral inequalities of trapezium-type for strongly exponentially generalized (m, ν1, ν2, g1, g2) functions with modulus c via Riemann-Liouville fractional integral are established. Also, some new estimates with respect to trapezium-type integral inequalities for strongly exponentially generalized (m, ν1, ν2, g1, g2) functions with modulus c via general fractional integrals are obtained. We show that the strongly exponentially generalized (m, ν1, ν2, g1, g2) functions with modulus c includes several other classes of functions. At the end, some new error estimates for trapezoidal quadrature formula are provided as well. This results may stimulate further research in different areas of pure and applied sciences.