Some Ostrowski type inequalities via $ n $-polynomial exponentially $ s $-convex functions and their applications

• DOI: 10.3934/math.2021768
• Publication Date: 2021-09-16T07:21:15Z
• Authors: Muhammad Tariq; ; Soubhagya Kumar S...; Jamshed Nasir; Hassen Aydi; Habes Alsamir
• Keywords: Convexity

<abstract><p>This paper deals with introducing and investigating a new convex mapping namely, $ n $-polynomial exponentially s $-convex. Here, we present some algebraic properties logical examples to validate the theory of newly introduced convexity. Some novel adaptations well-known Hermite-Hadamard Ostrowski type inequalities for this function have been established. Additionally, special cases established results are derived as well. Finally, applications limits means positive real numbers given. These outcomes yield few generalizations earlier already published in literature.</p></abstract>