Article
Fractional Newton-Type Inequalities Involving s-Convex Functions
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Abstract
In this paper, we present a novel method to examine Newton-type inequalities for s-convex functions using Riemann-Liouville fractional integrals. Specifically, we establish new fractional Newton- type inequalities by employing s-convex functions. The s-convexity property is extensively utilized to derive these inequalities. Additionally, we make use of the Holder inequality and the power-mean inequality to further strengthen our results. These new inequalities offer a more generalized perspective compared to classical inequalities, highlighting the significant role of s-convexity in modern mathematical analysis.
Keywords
Newton-type inequalities, convex functions, Ho¨lder inequality, power-mean inequality.
Citation
Alemdar, D., Kara, H., & Budak, H. (2024). Fractional newton-type inequalities involving s-convex functions. Turkish Journal of Science, 9(1), 68–79. https://doi.org/10.66833/TJOS-2024-0007
D. Alemdar, H. Kara and H. Budak, “Fractional newton-type inequalities involving s-convex functions,” Turkish Journal of Science, vol. 9, no. 1, pp. 68–79, 2024, doi: 10.66833/TJOS-2024-0007.
Alemdar D, Kara H, Budak H. Fractional newton-type inequalities involving s-convex functions. Turkish Journal of Science. 2024;9(1):68–79. doi:10.66833/TJOS-2024-0007.
Alemdar, D., Kara, H. and Budak, H. (2024), ‘Fractional newton-type inequalities involving s-convex functions’, Turkish Journal of Science, 9(1), pp. 68–79. Available at: https://doi.org/10.66833/TJOS-2024-0007.
Alemdar, Davut, et al. “Fractional Newton-type Inequalities Involving S-convex Functions.” Turkish Journal of Science, vol. 9, no. 1, 2024, pp. 68–79. https://doi.org/10.66833/TJOS-2024-0007.
Alemdar, Davut, Hasan Kara, and Huseyin Budak. “Fractional Newton-type Inequalities Involving S-convex Functions.” Turkish Journal of Science 9, no. 1 (2024): 68–79. https://doi.org/10.66833/TJOS-2024-0007.
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Published by: Engineering Journals


