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A note on some Ostrowski type inequalities via Generalized Exponentially Convexity

Muhammad Tariq, Jamshed Nasir, Soubhagya Kumar Sahoo, Ayaz Ali Mallah

2021Journal of Mathematical Analysis and Modeling24 citationsDOIOpen Access PDF

Abstract

In this paper, we define and investigate generalized exponential type convex functions namely exponentially $s$--convex function. In the support of this newly introduced idea, we attain the algebraic properties of this function, and furthermore, in the frame of simple calculus, we explore and attain the novel kind of Ostrowski type inequalities.

Topics & Concepts

ConvexityMathematicsExponential growthType (biology)Simple (philosophy)Exponential functionConvex functionRegular polygonPure mathematicsApplied mathematicsAlgebraic numberFunction (biology)Exponential typeFrame (networking)Calculus (dental)Algebra over a fieldMathematical analysisComputer scienceGeometryPhilosophyBiologyMedicineEvolutionary biologyEconomicsEcologyFinancial economicsDentistryTelecommunicationsEpistemologyMathematical Inequalities and ApplicationsFunctional Equations Stability Results