On fractional biparameterized Newton-type inequalities

被引：0
作者：
Wedad Saleh
Abdelghani Lakhdari
Thabet Abdeljawad
Badreddine Meftah
机构：
[1] Taibah University,Department of Mathematics
[2] National Higher School of Technology and Engineering,Department CPST
[3] Prince Sultan University,Department of Mathematics and Sciences
[4] China Medical University,Department of Medical Research
[5] Kyung Hee University,Department of Mathematics
[6] Sefako Makgatho Health Sciences University,Department of Mathematics and Applied Mathematics
[7] University 8 may 1945,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2023卷 / 1期
关键词：
Newton-type inequalities; -convex functions; Riemann–Liouville operators; Biparameterized identity; Hölder and power mean inequalities; 26D10; 26D15; 26A51;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work, we present a novel biparameterized identity that yields a family of one-, two-, three-, and four-point Newton-type formulas. Subsequently, we establish some new Newton-type inequalities for functions whose first derivatives are α-convex. The investigation is concluded with numerical examples accompanied by graphical representations to substantiate the accuracy of the obtained results.
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