数学与计算机科学 |
|
|
|
|
一个半离散非齐次核的Hilbert型不等式 |
杨必成1, 陈强2 |
1. 广东第二师范学院 数学系, 广东 广州 510303; 2. 广东第二师范学院 计算机科学系, 广东 广州 510303 |
|
A half-discrete Hilbert-type inequality with a non-homogeneous kernel |
YANG Bicheng1, CHEN Qiang2 |
1. Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China; 2. Department of Computer Science, Guangdong University of Education, Guangzhou 510303, China |
[1] HARDY G H. Note on a theorem of Hilbert concerning series of positive terms[J]. Proceedings London Math Soc,1925,23(2):Records of Proc xlv-xlvi. [2] HARDY G H, LITTLEWOOD J E, POLYA G. Inequalities[M]. Cambridge: Cambridge University Press,1952. [3] YANG B C. On best extensions of Hardy-Hilbert's inequality with two parameters[J]. Journal of Inequalities in Pure and Applied Mathematics,2005,6(3):Article No 81. [4] 王竹溪,郭敦仁.特殊函数论[M].北京:科学出版社,1979. WANG Z X,GUO D R. Introduction of Particular Functions[M]. Beijing: Science Press,1979. [5] 杨必成.算子范数与Hilbert型不等式[M].北京:科学出版社,2009. YANG B C. The Norm of Operator and Hilbert-Type Inequalities[M]. Beijing: Science Press,2009. [6] YANG B C. Discrete Hilbert-type Inequalities[M]. Sharjah: Bentham Science Publishers,2011. [7] 杨必成.一个推广的Hardy-Hilbert型不等式[J].广东第二师范学院学报,2015,35(3):1-8. YANG B C. An extension of Hardy-Hilbert-type inequality[J]. Journal of Guangdong University of Education,2015,35(3):1-8. [8] 杨必成,陈强.一个半离散含多参数的Hilbert型不等式[J].浙江大学学报:理学版,2012,39(6):623-626. YANG B C, CHEN Q. A half-discrete Hilbert-type inequality with multi-parameters[J]. Journal of Zhejiang University: Science Edition,2012,39(6):623-626. [9] HUANG Q L, WANG A Z, YANG B C. A more accurate half-discrete Hilbert-type inequality with a general non-homogeneous kernel and operator expressions[J]. Mathematical Inequalities and Applications,2014,17(1):367-388. [10] WANG A Z, YANG B C. A more accurate reverse half-discrete Hilbert-type inequality[J]. Journal of Inequalities and Applications,2015:85.DOI:10.1186/s13660-015-0613-8. [11] YANG B C, DEBNATH L. Half-Discrete Hilbert-Type Inequalities[M]. Singapore: World Scientific Publishing Co Pte Ltd,2014. [12] 匡继昌.常用不等式[M].济南:山东科技出版社,2004. KUANG J C. Applied Inequalities[M]. Jinan: Shandong Science and Technology Press,2004. [13] 匡继昌.实变函数与泛函分析(续论)[M].北京:高等教育出版社,2015. KUANG J C. Real Functions and Functional Analysis (Continuous)[M]. Beijing: Higher Education Press,2015. |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
|
Shared |
|
|
|
|
|
Discussed |
|
|
|
|