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Journals / International Journal of Informatics and Applied Mathematics / 2025 / Volume: 8 Issue: 1

SOME APPLICATIONS OF S−LOG-CONVEX FUNCTIONS IN NUMERICAL INTEGRATION

Duygu Dönmez Demir(MANİSA CELÂL BAYAR ÜNİVERSİTESİ)
Gülsüm Şanal(NİŞANTAŞI ÜNİVERSİTESİ)0000-0002-9726-4947
Pages
—
Publication Date
2025-07-03
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The smoothness and well-behaved derivatives of s-logarithmic convex functions facilitate error analysis in numerical integration.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Some applications on s-logarithmic convex functions are introduced in this study. s-logarithmic convex functions are used to model risk-averse preferences in economics and finance.
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Key Findings & Data:They play a role in optimization problems, particularly in nonlinear programming and convex optimization functions.
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Conclusion & Impact:The smoothness and well-behaved derivatives of s-logarithmic convex functions facilitate error analysis in numerical integration.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:s−log-convex function · Perturbed trapezoid inequality · Numerical integration.

Abstract

Some applications on s-logarithmic convex functions are introduced in this study. s-logarithmic convex functions are used to model risk-averse preferences in economics and finance. They play a role in optimization problems, particularly in nonlinear programming and convex optimization functions. Besides, they are encountered in information theory, machine learning, finance and risk management. These applications highlight importance of s-logarithmic convex functions in various domains, where their mathematical properties are strengthen to model complex phenomena and solve practical problems. s-logarithmic convex functions are particularly useful in numerical integration due to their smooth and well-behaved nature. This study focuses on the role of s-logarithmic functions in determining the upper limit for error in numerical integration. The smoothness and well-behaved derivatives of s-logarithmic convex functions facilitate error analysis in numerical integration.

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Cite This Article

Demir, D. D., Şanal, G. (2025). SOME APPLICATIONS OF S−LOG-CONVEX FUNCTIONS IN NUMERICAL INTEGRATION. International Journal of Informatics and Applied Mathematics, Volume: 8 Issue: 1. https://doi.org/10.53508/ijiam.1521759

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