Open AccessSome Ostrowski Type Integral Inequalities using Hypergeometric Functions
Author(s) -
Muhammad Tariq,
Soubhagya Kumar Sahoo,
Jamshed Nasir,
Sher khan Awan
Publication year - 2021
Publication title -
journal of fractional calculus and nonlinear systems
Language(s) - English
Resource type - Journals
ISSN - 2709-9547
DOI - 10.48185/jfcns.v2i1.240
Subject(s) - mathematics , hypergeometric function , type (biology) , pure mathematics , yield (engineering) , algebraic number , function (biology) , value (mathematics) , algebra over a field , convex function , regular polygon , calculus (dental) , mathematical analysis , geometry , statistics , ecology , evolutionary biology , biology , materials science , metallurgy , medicine , dentistry
The main objective of this paper is basically to acquire some new extensions of Ostrowski type inequalities for the function whose first derivatives' absolute value are $s$--type $p$--convex. We initially presented a new auxiliary definition namely $s$--type $p$--convex function. Some beautiful algebraic properties and examples related to the newly introduced definition are discussed. We additionally investigated some beautiful cases that can be derived from the novel refinements of the paper. These new results yield us some generalizations of the prior results. We trust that the techniques introduced in this paper will further motivate intrigued researchers.