Some Ostrowski Type Integral Inequalities using Hypergeometric Functions

• DOI: 10.48185/jfcns.v2i1.240
• Publication Date: 2021-06-30T16:04:30Z
• Authors: Muhammad Tariq; Soubhagya Kumar S...; Jamshed Nasir; Sher Khan Awan
• Keywords: Algebraic number; Geometry; Evolutionary biology; Convex Functions; Yield (engineering); 02 engineering and technology; Matrix Inequalities and Geometric Means; Mathematical analysis; Orthogonal Polynomials; Value (mathematics); Convex function; FOS: Mathematics; 0202 electrical engineering, electronic engineering, information engineering; Hypergeometric function; Biology; Algebra over a field; Ecology; Applied Mathematics; FOS: Clinical medicine; Statistics; Pure mathematics; Stability of Functional Equations in Mathematical Analysis; Materials science; Regular polygon; Function (biology); FOS: Biological sciences; Dentistry; Physical Sciences; Metallurgy; Medicine; Calculus (dental); Type (biology); Mathematics; Hypergeometric Functions

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.