Extensions of Ostrowski Type Inequalities via h-Integrals and s-Convexity

Extensions of Ostrowski Type Inequalities via h-Integrals and s-Convexity

In this paper, Hölder, Minkowski, and power mean inequalities are used to establish Ostrowski type inequalities for s-convex functions via h-calculus. The new inequalities are generalized versions of Ostrowski type inequalities available in literature.

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Veröffentlicht in:Journal of mathematics (Hidawi) 2021, Vol.2021, p.1-10
Hauptverfasser: Khan, Khuram Ali, Awan, Khalid Mahmood, Ditta, Allah, Nosheen, Ammara, Matendo, Rostin Mabela
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Calculus
Convex analysis
Convexity
Functions (mathematics)
Inequalities
Integrals
Mathematics
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Zusammenfassung:In this paper, Hölder, Minkowski, and power mean inequalities are used to establish Ostrowski type inequalities for s-convex functions via h-calculus. The new inequalities are generalized versions of Ostrowski type inequalities available in literature.
ISSN:2314-4629
2314-4785
DOI:10.1155/2021/2416819