Newton-cotes quadrature formula for third differentiable and h-convex functions

Bouharket Benaissa; HÜSEYİN Budak

doi:10.2298/fil2520995b

January 1, 2025Educational Research Advances

Newton-cotes quadrature formula for third differentiable and h-convex functions

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Key Points

The aim is to develop a new Newton-Cotes quadrature formula tailored for third differentiable and h-convex functions.
Introduced a new quadrature formula based on Newton-Cotes for specific functions.
Utilized Riemann integrals in the formulation.
Developed novel inequalities applicable to s-convexity and convexity.
Demonstrated the efficacy of the new quadrature formula for integrating designated functions.
Established new inequalities that enhance understanding of s-convexity and convexity.

Implication

Presents a new formula for integrating third differentiable, h-convex functions, indicating improved mathematical techniques.

Abstract

This study presents an innovative Newton-Cotes quadrature formula for functions that are third differentiable and h-convex, utilizing Riemann integrals. Additionally, novel Newton-type inequalities are introduced employing a summation parameter p ≥ 1 for s-convexity, convexity, and the class of P-functions.

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Cite This Study

Benaissa et al. (2025) studied this question.

synapsesocial.com/papers/69a3d89aec16d51705d2fa03 https://doi.org/10.2298/fil2520995b

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Newton-cotes quadrature formula for third differentiable and h-convex functions

Key Points

Implication

Abstract

Discussion

Cite This Study

Newton-cotes quadrature formula for third differentiable and h-convex functions

Key Points

Implication

Abstract

Discussion

Cite This Study

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