Simpson’s quadrature formula for third differentiable and s-convex functions

This study establishes Newton-type inequalities for third differentiable and s -convex functions that use the Riemann integral. New Newton-type inequalities are also introduced using a summation parameter p ≥ 1 for various convexity cases.

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Bibliographische Detailangaben
Veröffentlicht in:	Boundary value problems 2024-10, Vol.2024 (1), p.143-9, Article 143
Hauptverfasser:	Benaissa, Bouharket, Azzouz, Noureddine, Sarikaya, Mehmet Zeki
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Approximations and Expansions Boundary value problems Convex analysis Convexity Difference and Functional Equations Hölder inequality Inequalities Local and NonLocal Boundary value Problems Mathematics Mathematics and Statistics Newton inequality Ordinary Differential Equations Partial Differential Equations Quadratures Riemann integral s-convex function
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Beschreibung
Zusammenfassung:	This study establishes Newton-type inequalities for third differentiable and s -convex functions that use the Riemann integral. New Newton-type inequalities are also introduced using a summation parameter p ≥ 1 for various convexity cases.
ISSN:	1687-2770 1687-2762 1687-2770
DOI:	10.1186/s13661-024-01952-1