On Cauchy-Schwarz inequality for N-tuple diamond-alpha integral

被引：33

作者：

Hu, Xi-Mei ^{[1
]}

Tian, Jing-Feng ^{[2
]}

Chu, Yu-Ming ^{[3
]}

Lu, Yan-Xia ^{[2
]}

机构：

[1] North China Elect Power Univ, Sch Econ & Management, Baoding, Peoples R China

[2] North China Elect Power Univ, Dept Math & Phys, Baoding, Peoples R China

[3] Huzhou Univ, Dept Math, Huzhou, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期

关键词：

Cauchy-Schwarz inequality; Diamond-alpha integral; Time scales; HERMITE-HADAMARD TYPE; TIME SCALES; CONVEXITY;

D O I：

10.1186/s13660-020-2283-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present some new Cauchy-Schwarz inequalities for N-tuple diamond-alpha integral on time scales. The obtained results improve and generalize some Cauchy-Schwarz type inequalities given by many authors.

引用

页数：15

共 37 条

[1] Inequalities on time scales: A survey [J].

Agarwal, R ;

Bohner, M ;

Peterson, A .

MATHEMATICAL INEQUALITIES & APPLICATIONS, 2001, 4 (04) :535-557

[2]

Agarwal R., 2014, DYNAMIC INEQUALITIES

[3] A two-weight inequality for essentially well localized operators with general measures [J].

Benge, Philip .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 479 (02) :1506-1518

[4]

Bohner M., 2001, Dynamic Equations On Time Scales

[5] NEW EXPLICIT ROUNDS ON GAMIDOV TYPE INTEGRAL INEQUALITIES ON TIME SCALES AND APPLICATIONS [J].

Boukerrioua, Khaled ;

Diabi, Dallel ;

Meziri, Imen .

JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (03) :807-825

[6] Generalized integral inequalities on time scales [J].

Fayyaz, Tooba ;

Irshad, Nazia ;

Khan, Asif R. ;

Rahman, Ghaus Ur ;

Roqia, Gholam .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,

[7]

Greub W., 1959, Proc. Amer. Math. Soc., V10, P407

[8] Differential and difference calculus - Unified! [J].

Hilger, S .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (05) :2683-2694

[9]

Hilger S., 1988, THESIS U WURZBURG

[10]

Hilger S., 1990, RESULTS MATH, V18, P18, DOI [10.1007/BF03323153, DOI 10.1007/BF03323153]

← 1 2 3 4 →