On Some New Maclaurin's Type Inequalities for Convex Functions in q-Calculus

被引：6

作者：

Sitthiwirattham, Thanin ^{[1
,2
]}

Ali, Muhammad Aamir ^{[3
]}

Budak, Huseyin ^{[4
]}

机构：

[1] Suan Dusit Univ, Fac Sci & Technol, Math Dept, Bangkok 10300, Thailand

[2] King Mongkuts Univ Technol North Bangkok, Res Grp Fract Calculus Theory & Applicat, Sci & Technol Res Inst, Bangkok 10800, Thailand

[3] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Peoples R China

[4] Duzce Univ, Fac Sci & Arts, Dept Math, TR-81620 Duzce, Turkiye

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Maclaurin's inequalities; Hermite-Hadamard inequalities; convex functions; q-calculus; INTEGRAL-INEQUALITIES; MIDPOINT;

D O I：

10.3390/fractalfract7080572

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work establishes some new inequalities to find error bounds for Maclaurin's formulas in the framework of q-calculus. For this, we first prove an integral identity involving q-integral and q-derivative. Then, we use this new identity to prove some q-integral inequalities for q-differentiable convex functions. The inequalities proved here are very important in the literature because, with their help, we can find error bounds for Maclaurin's formula in both q and classical calculus.

引用

页数：13

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