A new version of (p, q)-Hermite-Hadamard's midpoint and trapezoidal inequalities via special operators in (p, q)-calculus

被引：0

作者：

Sitthiwirattham, Thanin ^{[1
]}

Ali, Muhammad Aamir ^{[2
]}

Budak, Huseyin ^{[3
]}

Etemad, Sina ^{[4
]}

Rezapour, Shahram ^{[4
,5
,6
]}

机构：

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

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

[3] Duzce Univ, Fac Sci & Arts, Dept Math, TR-81620 Duzce, Turkey

[4] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

[5] Kyuing Hee Univ, Dept Math, 26 Kyungheedae-Ro, Seoul, South Korea

[6] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

来源：

BOUNDARY VALUE PROBLEMS | 2022年 / 2022卷 / 01期

基金：

中国国家自然科学基金;

关键词：

q-calculus; (p; q)-Hermite-Hadamard inequality; q)-calculus; Convex functions; DIFFERENTIABLE MAPPINGS; INTEGRAL-INEQUALITIES; REAL NUMBERS; CONVEX;

D O I：

10.1186/s13661-022-01665-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we conduct a research on a new version of the (p, q)-Hermite-Hadamard inequality for convex functions in the framework of postquantum calculus. Moreover, we derive several estimates for (p, q)-midpoint and (p, q)-trapezoidal inequalities for special (p, q)-differentiable functions by using the notions of left and right (p, q)-derivatives. Our newly obtained inequalities are extensions of some existing inequalities in other studies. Lastly, we consider some mathematical examples for some (p, q)-functions to confirm the correctness of newly established results.

引用

页数：21

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