Open AccessSome Ostrowski type inequalities via $ n $-polynomial exponentially $ s $-convex functions and their applications
Author(s) -
Muhammad Tariq,
Soubhagya Kumar Sahoo,
Jamshed Nasir,
Hassen Aydi,
Habes Alsamir
Publication year - 2021
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.2021768
Subject(s) - mathematics , convexity , hermite polynomials , pure mathematics , polynomial , algebraic number , convex function , type (biology) , regular polygon , function (biology) , algebra over a field , discrete mathematics , mathematical analysis , geometry , ecology , evolutionary biology , financial economics , economics , biology
This paper deals with introducing and investigating a new convex mapping namely, $ n $-polynomial exponentially $ s $-convex. Here, we present some algebraic properties and some logical examples to validate the theory of newly introduced convexity. Some novel adaptations of the well-known Hermite-Hadamard and Ostrowski type inequalities for this convex function have been established. Additionally, some special cases of the newly established results are derived as well. Finally, as applications some new limits for special means of positive real numbers are given. These new outcomes yield a few generalizations of the earlier outcomes already published in the literature.