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

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

Abstract 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 $p\geq 1$ for various convexity cases.

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Bibliographic Details
Main Authors: Bouharket Benaissa, Noureddine Azzouz, Mehmet Zeki Sarikaya
Format: Article
Language:English
Published: SpringerOpen 2024-10-01
Series:Boundary Value Problems
Subjects:
s-convex function
Newton inequality
Hölder inequality
Riemann integral
Online Access:https://doi.org/10.1186/s13661-024-01952-1
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