@article{article_1521759, title={SOME APPLICATIONS OF S−LOG-CONVEX FUNCTIONS IN NUMERICAL INTEGRATION}, journal={International Journal of Informatics and Applied Mathematics}, volume={8}, pages={1–21}, year={2025}, DOI={10.53508/ijiam.1521759}, author={Dönmez Demir, Duygu and Şanal, Gülsüm}, keywords={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.}, number={1}, publisher={International Society of Academicians}