# zbMATH — the first resource for mathematics

## Yang, Bicheng

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 Author ID: yang.bicheng Published as: Yang, Bicheng; Yang, B.; Yang, Bi-cheng; Yang, Bichen; Yang, Bi Cheng; Yang, Becheng; Yang, B. C. Homepage: http://web.gdei.edu.cn/sxx/ybch/ External Links: dblp
 Documents Indexed: 334 Publications since 1996, including 3 Books Reviewing Activity: 81 Reviews
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#### Co-Authors

 151 single-authored 28 Chen, Qiang 24 Rassias, Michael Th. 22 Debnath, Lokenath 16 Huang, Qiliang 14 Wang, Aizhen 11 He, Bing 10 Xin, Dongmei 6 Rassias, Themistocles Michael 6 Zhong, Yanru 5 He, Leping 5 Krnić, Mario 5 Liao, Jianquan 4 Gu, Zhaohui 4 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 4 Zhong, Wuyi 4 Zhu, Yunhua 3 Cao, Junfei 3 Hong, Yong 3 Huang, Meifa 3 Huang, Zhenxiao 3 Shi, Yanping 3 Zhong, Jianhua 2 Gao, Mingzhe 2 Liu, Tuo 2 Wang, Genqiang 2 Wang, Weihong 2 Xie, Zitian 1 An, Yan 1 Brnetić, Ilko 1 Cheung, Fan-Bill 1 Gaudoin, Olivier 1 Huang, Xianyong 1 Li, Aihua 1 Liu, Hongyan 1 Liu, Shumei 1 Liu, Xindong 1 Liu, Xingdong 1 Ma, Qunwei 1 Meletiou, Gerasimos C. 1 Pečarić, Josip 1 Rassias, George M. 1 Shiah, Sheau-Wen 1 Xie, Min 1 Xie, Mingchu 1 Xu, Xingye 1 Yang, Shicheng 1 Zeng, Zheng 1 Zeng, Zhihong 1 Zeng, Zhuohua
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#### Serials

 45 Journal of Inequalities and Applications 14 Mathematical Inequalities & Applications 14 Journal of Jilin University. Science Edition 12 Journal of Mathematical Inequalities 11 Journal of Mathematical Analysis and Applications 9 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 8 International Journal of Pure and Applied Mathematics 7 Journal of Guangdong Education Institute 7 Acta Mathematica Sinica. Chinese Series 7 International Journal of Nonlinear Analysis and Applications 6 Journal of Zhejiang University. Science Edition 6 International Journal of Mathematical Inequalities and Applications 6 Journal of Applied Analysis and Computation 5 Applied Mathematics and Computation 5 Kyungpook Mathematical Journal 5 Soochow Journal of Mathematics 5 Journal of Mathematics. Wuhan University 5 International Mathematical Forum 5 Journal of Guangdong University of Education 5 Journal of Function Spaces 4 International Journal of Mathematics and Mathematical Sciences 4 Journal of Mathematical Research & Exposition 4 Acta Scientiarum Naturalium Universitatis Sunyatseni 4 Journal of Nanjing University. Mathematical Biquarterly 4 Journal of Shanghai University. Natural Science 4 Applied Mathematical Sciences (Ruse) 3 Acta Mathematica Sinica 3 Journal of Pure Mathematics 3 Chinese Annals of Mathematics. Series A 3 Applied Mathematics Letters 3 Pure and Applied Mathematics 3 Taiwanese Journal of Mathematics 3 Journal of Mathematical Study 3 Annals of Functional Analysis 2 Acta Mathematica Hungarica 2 Journal of Xiamen University. Natural Science 2 Advances in Mathematics 2 Northeastern Mathematical Journal 2 Mathematica Applicata 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Chinese Quarterly Journal of Mathematics 2 Acta Analysis Functionalis Applicata. AAFA 2 Mediterranean Journal of Mathematics 2 The Australian Journal of Mathematical Analysis and Applications 2 International Journal of Applied Mathematical Sciences 2 Journal of Lanzhou University of Technology 2 International Journal of Mathematical Analysis (Ruse) 2 Journal of Henan University. Natural Science 2 Jordan Journal of Mathematics and Statistics 2 Advances in Operator Theory 1 Acta Mechanica 1 Analysis Mathematica 1 Applicable Analysis 1 International Journal of Heat and Mass Transfer 1 International Journal of Mathematical Education in Science and Technology 1 Indian Journal of Pure & Applied Mathematics 1 The Journal of the Indian Mathematical Society. New Series 1 Le Matematiche 1 Opsearch 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Publicationes Mathematicae 1 Tamkang Journal of Mathematics 1 Mathematics in Practice and Theory 1 Acta Applicandae Mathematicae 1 Journal of Jiangxi Normal University. Natural Science Edition 1 Applied Mathematics. Series A (Chinese Edition) 1 Abstract and Applied Analysis 1 Tamsui Oxford Journal of Mathematical Sciences 1 Journal of Interdisciplinary Mathematics 1 Acta Mathematica Sinica. English Series 1 Journal of Sichuan Normal University. Natural Science 1 International Journal of Applied Mathematics 1 Journal of South China Normal University. Natural Science Edition 1 Nonlinear Functional Analysis and Applications 1 Quantitative Finance 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of Changde Teachers University. Natural Science Edition 1 Mathematical Reports 1 Proceedings of the Jangjeon Mathematical Society 1 Thai Journal of Mathematics 1 Journal of Function Spaces and Applications 1 Advances in Difference Equations 1 Sarajevo Journal of Mathematics 1 Communications in Mathematical Analysis 1 Complex Analysis and Operator Theory 1 International Review of Pure & Applied Mathematics 1 Banach Journal of Mathematical Analysis 1 Chinese Journal of Engineering Mathematics 1 Tamsui Oxford Journal of Information and Mathematical Sciences 1 Journal of Nonlinear Analysis and Optimization: Theory & Applications 1 Gulf Journal of Mathematics 1 SpringerBriefs in Mathematics
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#### Fields

 320 Real functions (26-XX) 84 Operator theory (47-XX) 10 Special functions (33-XX) 9 Number theory (11-XX) 7 Numerical analysis (65-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Sequences, series, summability (40-XX) 4 Difference and functional equations (39-XX) 3 Potential theory (31-XX) 3 Integral equations (45-XX) 2 Ordinary differential equations (34-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

182 Publications have been cited 1,216 times in 251 Documents Cited by Year
On Hilbert’s integral inequality. Zbl 0911.26011
Yang, Bicheng
1998
On the way of weight coefficient and research for the Hilbert-type inequalities. Zbl 1046.26012
Yang, Bicheng; Rassias, Themistocles M.
2003
On the extended Hilbert’s inequality. Zbl 0935.26011
Gao, Mingzhe; Yang, Bichen
1998
Generalization of Hilbert and Hardy-Hilbert integral inequalities. Zbl 1078.26019
Yang, Bicheng; Brnetić, Ilko; Krnić, Mario; Pečarić, Josip
2005
On half-discrete Hilbert’s inequality. Zbl 1329.26041
Rassias, Michael Th.; Yang, Bicheng
2013
A multidimensional half-discrete Hilbert-type inequality and the Riemann zeta function. Zbl 1334.26056
Rassias, Michael Th.; Yang, Bicheng
2013
On a multidimensional half-discrete Hilbert-type inequality related to the hyperbolic cotangent function. Zbl 1334.26057
Rassias, Michael Th.; Yang, Bicheng
2014
On the norm of a Hilbert’s type linear operator and applications. Zbl 1114.47010
Yang, Bicheng
2007
On the norm of an integral operator and applications. Zbl 1102.47036
Yang, Bicheng
2006
Some inequalities involving the constant $$e$$, and an application to Carleman’s inequality. Zbl 0910.26011
Yang, Bicheng; Debnath, Lokenath
1998
On a Hilbert-type integral inequality in the subinterval and its operator expression. Zbl 1200.47006
Yang, Bicheng; Rassias, Themistocles M.
2010
On the extended Hardy-Hilbert’s inequality. Zbl 1009.26016
Yang, Bicheng; Debnath, Lokenath
2002
A new Hilbert’s type integral inequality. Zbl 1137.26310
Yang, Bicheng
2007
On the norm of a multidimensional Hilbert-type operator. Zbl 1254.47011
Yang, Bichen; Krnić, Mario
2011
A Hilbert-type integral inequality in the whole plane related to the hypergeometric function and the beta function. Zbl 1316.33004
Rassias, Michael Th.; Yang, Bicheng
2015
A mixed Hilbert-type inequality with a best constant factor. Zbl 1100.26015
Yang, Bicheng
2005
On a multidimensional Hilbert-type integral inequality associated to the gamma function. Zbl 1338.33011
Rassias, Michael Th.; Yang, Bicheng
2014
A half-discrete Hilbert’s inequality. Zbl 1249.26044
Yang, Bicheng
2011
On new generalizations of Hilbert’s inequality. Zbl 0970.26009
Yang, Bicheng
2000
Half-discrete Hilbert-type inequalities. Zbl 1296.26007
Yang, Bicheng; Debnath, Lokenath
2014
On a new generalization of Hardy-Hilbert’s inequality and its applications. Zbl 0935.26009
Yang, Bicheng; Debnath, Lokenath
1999
On a multiple Hilbert-type integral inequality with the symmetric kernel. Zbl 1133.26319
Zhong, Wuyi; Yang, Bicheng
2007
A half-discrete Hilbert-type inequality with a general homogeneous kernel of degree 0. Zbl 1251.26014
Yang, Bicheng; Krnić, Mario
2012
On new generalizations of Hardy’s integral inequality. Zbl 0893.26008
Yang, Bicheng; Zeng, Zhuohua; Debnath, Lokenath
1998
On Hardy’s inequality. Zbl 0946.26011
Yang, Bicheng
1999
On a more accurate multidimensional Hilbert-type inequality with parameters. Zbl 1326.26049
Yang, Bicheng
2015
On an extension of Hardy-Hilbert’s inequality. Zbl 1023.26013
Yang, Bicheng
2002
A Hilbert-type integral inequality in the whole plane with the homogeneous kernel of degree $$-2$$. Zbl 1218.26031
Xin, Dongmei; Yang, Bicheng
2011
Recent developments of Hilbert-type discrete and integral inequalities with applications. Zbl 1255.26009
Debnath, Lokenath; Yang, Bicheng
2012
A half-discrete Hilbert-type inequality with a non-homogeneous kernel and two variables. Zbl 1275.26047
Yang, Bicheng
2013
A survey on the study of Hilbert-type inequalities. Zbl 1336.26030
Chen, Qiang; Yang, Bicheng
2015
A half-discrete Hilbert-type inequality with a homogeneous kernel and an extension. Zbl 1279.26060
Yang, Bicheng; Chen, Qiang
2011
A new Hilbert-type integral inequality in the whole plane with the non-homogeneous kernel. Zbl 1279.26053
Wang, Aizhen; Yang, Bicheng
2011
On a Hardy-Hilbert-type inequality with parameters. Zbl 1336.26047
Yang, Bicheng; Chen, Qiang
2015
On an extension of a more accurate Hilbert-type inequality. Zbl 1199.26104
Zhong, Jianhua; Yang, Bicheng
2008
Hilbert-type integral operators: norms and inequalities. Zbl 1246.31001
Yang, Bicheng
2012
A multidimensional Hilbert-type integral inequality related to the Riemann zeta function. Zbl 1308.26039
Rassias, Michael T.; Yang, Bicheng
2014
A Hilbert-type integral inequality in the whole plane with a non-homogeneous kernel and a few parameters. Zbl 1336.26032
Gu, Zhaohui; Yang, Bicheng
2015
A note on Hilbert’s integral inequalities. Zbl 0970.26011
Yang, Bicheng
1998
Necessary and sufficient conditions for the validity of Hilbert type integral inequalities with a class of quasi-homogeneous kernels and its application in operator theory. Zbl 1403.26020
Hong, Yong; He, Bing; Yang, Bicheng
2018
On an inequality concerning a non-homogeneous kernel and the hypergeometric function. Zbl 1234.26054
He, Bing; Yang, Bicheng
2011
On a strengthened version of the more precise Hardy-Hilbert inequality. Zbl 1013.26013
Yang, Bicheng
1999
On an extension of {H}ilbert’s integral inequality with some parameters. Zbl 1086.26018
Yang, Bicheng
2004
On Hardy-Hilbert’s integral inequality. Zbl 0989.26012
Yang, Bicheng
2001
On a best constant in the Hardy-Hilbert inequality. Zbl 0907.26012
Yang, Bicheng; Gao, Mingzhe
1997
A new Hilbert-type inequality. Zbl 1129.26024
Yang, Bicheng
2006
A new Hardy-Hilbert-type inequality with multiparameters and a best possible constant factor. Zbl 1329.26042
Shi, Yanping; Yang, Bicheng
2015
On a multiple Hilbert-type integral operator and applications. Zbl 1188.26011
Huang, Qiliang; Yang, Bicheng
2009
The necessary and sufficient conditions for the existence of a kind of Hilbert-type multiple integral inequality with the non-homogeneous kernel and its applications. Zbl 1386.26025
Hong, Yong; Huang, Qiliang; Yang, Bicheng; Liao, Jianquan
2017
On Hilbert-type integral inequalities and their operator expressions. Zbl 1299.26060
Yang, Bicheng
2013
A strengthened Mulholland-type inequality with parameters. Zbl 1336.26046
Wang, Aizhen; Huang, Qiliang; Yang, Bicheng
2015
A discrete Hilbert-type inequality in the whole plane. Zbl 1335.26013
Xin, Dongmei; Yang, Bicheng; Chen, Qiang
2016
On new strengthened Hardy-Hilbert’s inequality. Zbl 0897.26008
Yang, Bicheng; Debnath, Lokenath
1998
Generalizations of Hardy’s integral inequalities. Zbl 0971.26012
Yang, Bicheng; Debnath, Lokenath
1999
On a general Hardy-Hilbert integral inequality with a best constant. Zbl 0991.26010
Yang, Bicheng
2000
On a more accurate Hardy-Hilbert’s type inequality and its applications. Zbl 1120.26303
Yang, Bicheng
2006
On a Hardy-Hilbert-type inequality with a general homogeneous kernel. Zbl 1359.26025
Rassias, Michael Th.; Yang, Bicheng
2016
On a multidimensional Hilbert-type inequality with parameters. Zbl 1336.26044
Shi, Yanping; Yang, Bicheng
2015
On new extensions of Hilbert’s inequality. Zbl 1062.26023
Yang, Bicheng
2004
On best extensions of Hardy-Hilbert’s inequality with two parameters. Zbl 1082.26020
Yang, Bicheng
2005
On a multiple Hardy-Hilbert’s integral inequality. Zbl 1072.26021
Yang, Bicheng
2003
On an equivalent property of a reverse Hilbert-type integral inequality related to the extended Hurwitz-zeta function. Zbl 1425.26015
Rassias, Michael Th.; Yang, Bicheng
2019
A more accurate multidimensional Hardy-Hilbert type inequality with a general homogeneous kernel. Zbl 1391.26062
Yang, Bicheng; Chen, Qiang
2018
On Hilbert’s inequality with some parameters. Zbl 1120.26304
Yang, Bicheng
2006
On the norm of a self-adjoint operator and applications to the Hilbert’s type inequalities. Zbl 1128.47010
Yang, Bicheng
2006
Equivalent property of a Hilbert-type integral inequality related to the beta function in the whole plane. Zbl 1400.26066
Xin, Dongmei; Yang, Bicheng; Wang, Aizhen
2018
On the norm of a certain self-adjoint integral operator and applications to bilinear integral inequalities. Zbl 1156.47001
Yang, Bicheng
2008
On a new extension of Hilbert’s inequality. Zbl 1085.26016
Yang, Bicheng; Rassias, Themistocles M.
2005
A multidimensional discrete Hilbert-type inequality. Zbl 1297.26064
Yang, Bicheng; Chen, Qiang
2014
On a more accurate Hardy-Mulholland-type inequality. Zbl 1334.26065
Yang, Bicheng; Chen, Qiang
2016
A new extension of Hardy-Hilbert’s inequality in the whole plane. Zbl 1350.26039
Yang, Bicheng; Chen, Qiang
2016
Hilbert-type and Hardy-type integral inequalities with operator expressions and the best constants in the whole plane. Zbl 1309.47016
Huang, Xianyong; Cao, Junfei; He, Bing; Yang, Bicheng
2015
A generalization of the Hilbert double series theorem. Zbl 1096.26506
Yang, Bicheng
2001
On a generalization of a Hilbert type inequality and its applications. Zbl 1069.26024
Yang, Bicheng
2004
On a new extension of Hilbert’s inequality with some parameters. Zbl 1091.26021
Yang, B.
2005
On the norm of a self-adjoint operator and a new bilinear integral inequality. Zbl 1129.47011
Yang, Bi Cheng
2007
On a half-discrete Hilbert-type inequality similar to Mulholland’s inequality. Zbl 1282.26030
Huang, Zhenxiao; Yang, Bicheng
2013
Positive entire solutions of nonlinear polyharmonic equations in $$\mathbb R^2$$. Zbl 1126.35310
Xu, Xingye; Yang, Bicheng; Debnath, Lokenath
2002
On a new inequality similar to Hardy-Hilbert’s inequality. Zbl 1018.26013
Yang, Bicheng
2003
On a Hilbert-type operator with a symmetric homogeneous kernel of $$-1$$-order and applications. Zbl 1137.47024
Yang, Bicheng
2007
On a relation between Hilbert’s inequality and a Hilbert-type inequality. Zbl 1155.26020
Yang, Bicheng
2008
A new Hilbert-type integral inequality and its generalization. Zbl 1081.26022
Yang, Bicheng
2005
Generalization of a Hilbert type inequality with best constant factor and its applications. Zbl 1076.26020
Yang, Bicheng
2005
On a new multiple extension of Hilbert’s integral inequality. Zbl 1078.26018
Yang, Bicheng
2005
Equivalent properties of a Hilbert-type integral inequality with the best constant factor related to the Hurwitz zeta function. Zbl 1390.26044
Rassias, Michael; Yang, Bicheng
2018
On a more accurate multidimensional Mulholland-type inequality. Zbl 1309.26021
Chen, Qiang; Yang, Bicheng
2014
A strengthened Hardy-Hilbert’s type inequality. Zbl 1167.26326
Wang, Weihong; Yang, Bicheng
2006
A more accurate half-discrete Hilbert-type inequality with a general non-homogeneous kernel and operator expressions. Zbl 1286.26014
Huang, Qiliang; Wang, Aizhen; Yang, Bicheng
2014
A more accurate half-discrete Hilbert inequality with a nonhomogeneous kernel. Zbl 1275.26037
Huang, Qiliang; Yang, Bicheng
2013
On a Hilbert-type operator with a class of homogeneous kernels. Zbl 1179.47025
Yang, Bicheng
2009
Some generalizations of the Hardy-Hilbert integral inequalities. Zbl 1013.26014
Yang, Bicheng
1998
A bilinear inequality with a homogeneous kernel of order $$-2$$. Zbl 1115.26302
Yang, Bicheng
2006
On a relation to two basic Hilbert-type integral inequalities. Zbl 1190.26033
Yang, Bicheng
2009
On an extended Hardy-Hilbert’s inequality and some reversed form. Zbl 1146.26311
Yang, Bicheng
2006
Hilbert-type inequalities and related operators with homogeneous kernel of degree 0. Zbl 1200.47005
Yang, Bicheng; Krnić, Mario
2010
On a new Hilbert-Hardy-type integral operator and applications. Zbl 1205.47047
Liu, Xingdong; Yang, Bicheng
2010
A new Hilbert-type operator and applications. Zbl 1224.26081
Yang, Bicheng
2010
A multidimensional discrete Hilbert-type inequality. Zbl 1315.26033
Yang, Bicheng
2014
Weighted Stepanov-like pseudo-almost automorphic mild solutions for semilinear fractional differential equations. Zbl 1351.34005
He, Bing; Cao, Junfei; Yang, Bicheng
2015
Some inequalities involving $$\pi$$ and an application to Hilbert’s inequality. Zbl 0977.26009
Yang, Bicheng; Debnath, L.
1999
On the reverse Hardy-type integral inequalities in the whole plane with the extended Riemann-zeta function. Zbl 1444.26037
Rassias, Michael Th.; Yang, Bicheng; Raigorodskii, Andrei
2020
On an equivalent property of a reverse Hilbert-type integral inequality related to the extended Hurwitz-zeta function. Zbl 1425.26015
Rassias, Michael Th.; Yang, Bicheng
2019
On a Hilbert-type integral inequality in the whole plane related to the extended Riemann zeta function. Zbl 1435.26031
Rassias, Michael Th.; Yang, Bicheng
2019
On a Hilbert-type integral inequality related to the extended Hurwitz zeta function in the whole plane. Zbl 1429.26037
Rassias, Michael Th.; Yang, Bicheng
2019
On a parametric Mulholland-type inequality and applications. Zbl 07095598
Yang, Bicheng; Huang, Meifa; Zhong, Yanru
2019
Necessary and sufficient conditions for the validity of Hilbert type integral inequalities with a class of quasi-homogeneous kernels and its application in operator theory. Zbl 1403.26020
Hong, Yong; He, Bing; Yang, Bicheng
2018
A more accurate multidimensional Hardy-Hilbert type inequality with a general homogeneous kernel. Zbl 1391.26062
Yang, Bicheng; Chen, Qiang
2018
Equivalent property of a Hilbert-type integral inequality related to the beta function in the whole plane. Zbl 1400.26066
Xin, Dongmei; Yang, Bicheng; Wang, Aizhen
2018
Equivalent properties of a Hilbert-type integral inequality with the best constant factor related to the Hurwitz zeta function. Zbl 1390.26044
Rassias, Michael; Yang, Bicheng
2018
A half-discrete Hilbert-type inequality in the whole plane related to the Riemann zeta function. Zbl 1393.26028
Rassias, Michael Th.; Yang, Bicheng
2018
The necessary and sufficient conditions for the existence of a kind of Hilbert-type multiple integral inequality with the non-homogeneous kernel and its applications. Zbl 1386.26025
Hong, Yong; Huang, Qiliang; Yang, Bicheng; Liao, Jianquan
2017
Equivalent conditions of a Hardy-type integral inequality related to the extended Riemann zeta function. Zbl 1371.26036
Rassias, Michael Th.; Yang, Bicheng
2017
An extension of a multidimensional Hilbert-type inequality. Zbl 1360.26024
Zhong, Jianhua; Yang, Bicheng
2017
A discrete Hilbert-type inequality in the whole plane. Zbl 1335.26013
Xin, Dongmei; Yang, Bicheng; Chen, Qiang
2016
On a Hardy-Hilbert-type inequality with a general homogeneous kernel. Zbl 1359.26025
Rassias, Michael Th.; Yang, Bicheng
2016
On a more accurate Hardy-Mulholland-type inequality. Zbl 1334.26065
Yang, Bicheng; Chen, Qiang
2016
A new extension of Hardy-Hilbert’s inequality in the whole plane. Zbl 1350.26039
Yang, Bicheng; Chen, Qiang
2016
On a new Hardy-Mulholland-type inequality and its more accurate form. Zbl 1336.26037
Li, Aihua; Yang, Bicheng; He, Leping
2016
A relation between two simple Hardy-Mulholland-type inequalities with parameters. Zbl 1334.26042
Chen, Qiang; Shi, Yanping; Yang, Bicheng
2016
A more accurate half-discrete Hardy-Hilbert-type inequality with the best possible constant factor related to the extended Riemann-zeta function. Zbl 1405.11106
Rassias, Michael Th.; Yang, Bicheng
2016
A half-discrete Hilbert-type inequality in the whole plane with multiparameters. Zbl 1350.26035
Ma, Qunwei; Yang, Bicheng; He, Leping
2016
A Hilbert-type integral inequality in the whole plane related to the hypergeometric function and the beta function. Zbl 1316.33004
Rassias, Michael Th.; Yang, Bicheng
2015
On a more accurate multidimensional Hilbert-type inequality with parameters. Zbl 1326.26049
Yang, Bicheng
2015
A survey on the study of Hilbert-type inequalities. Zbl 1336.26030
Chen, Qiang; Yang, Bicheng
2015
On a Hardy-Hilbert-type inequality with parameters. Zbl 1336.26047
Yang, Bicheng; Chen, Qiang
2015
A Hilbert-type integral inequality in the whole plane with a non-homogeneous kernel and a few parameters. Zbl 1336.26032
Gu, Zhaohui; Yang, Bicheng
2015
A new Hardy-Hilbert-type inequality with multiparameters and a best possible constant factor. Zbl 1329.26042
Shi, Yanping; Yang, Bicheng
2015
A strengthened Mulholland-type inequality with parameters. Zbl 1336.26046
Wang, Aizhen; Huang, Qiliang; Yang, Bicheng
2015
On a multidimensional Hilbert-type inequality with parameters. Zbl 1336.26044
Shi, Yanping; Yang, Bicheng
2015
Hilbert-type and Hardy-type integral inequalities with operator expressions and the best constants in the whole plane. Zbl 1309.47016
Huang, Xianyong; Cao, Junfei; He, Bing; Yang, Bicheng
2015
Weighted Stepanov-like pseudo-almost automorphic mild solutions for semilinear fractional differential equations. Zbl 1351.34005
He, Bing; Cao, Junfei; Yang, Bicheng
2015
A brand new multiple Hilbert-type integral inequality. Zbl 1349.26049
He, Bing; Cao, Junfei; Yang, Bicheng
2015
A more accurate reverse half-discrete Hilbert-type inequality. Zbl 1310.26025
Wang, Aizhen; Yang, Bicheng
2015
On more accurate reverse multidimensional half-discrete Hilbert-type inequalities. Zbl 1326.26050
Yang, Bicheng
2015
On a multidimensional Hilbert-type integral inequality with logarithm function. Zbl 1331.26042
Liu, Tuo; Yang, Bicheng; He, Leping
2015
A multidimensional Hilbert-type integral inequality. Zbl 1372.26017
Huang, Zhenxiao; Yang, Bicheng
2015
Two kinds of Hilbert-type integral inequalities in the whole plane. Zbl 1308.26051
Yang, Bicheng; Chen, Qiang
2015
A new multiple half-discrete Hilbert-type inequality with parameters and a best possible constant factor. Zbl 1327.26021
He, Bing; Yang, Bicheng; Chen, Qiang
2015
On a multidimensional half-discrete Hilbert-type inequality related to the hyperbolic cotangent function. Zbl 1334.26057
Rassias, Michael Th.; Yang, Bicheng
2014
On a multidimensional Hilbert-type integral inequality associated to the gamma function. Zbl 1338.33011
Rassias, Michael Th.; Yang, Bicheng
2014
Half-discrete Hilbert-type inequalities. Zbl 1296.26007
Yang, Bicheng; Debnath, Lokenath
2014
A multidimensional Hilbert-type integral inequality related to the Riemann zeta function. Zbl 1308.26039
Rassias, Michael T.; Yang, Bicheng
2014
A multidimensional discrete Hilbert-type inequality. Zbl 1297.26064
Yang, Bicheng; Chen, Qiang
2014
On a more accurate multidimensional Mulholland-type inequality. Zbl 1309.26021
Chen, Qiang; Yang, Bicheng
2014
A more accurate half-discrete Hilbert-type inequality with a general non-homogeneous kernel and operator expressions. Zbl 1286.26014
Huang, Qiliang; Wang, Aizhen; Yang, Bicheng
2014
A multidimensional discrete Hilbert-type inequality. Zbl 1315.26033
Yang, Bicheng
2014
On a half-discrete reverse Mulholland-type inequality and an extension. Zbl 1308.26033
Liu, Tuo; Yang, Bicheng; He, Leping
2014
Multidimensional discrete Hilbert-type inequalities, operators and compositions. Zbl 1339.47013
Yang, Bicheng
2014
A half-discrete version of the Mulholland inequality. Zbl 1374.26066
Yang, Bicheng; Krnić, Mario
2014
Half-discrete Hilbert-type inequalities, operators and compositions. Zbl 1315.26034
Yang, Bicheng
2014
A Hilbert-type integral inequality related to the Riemann zeta function. Zbl 1324.26042
Yang, Bicheng; Chen, Qiang
2014
A new multiple half-discrete Hilbert-type inequality. Zbl 1304.26019
He, Bing; Yang, Bicheng
2014
A more accurate half-discrete reverse Hilbert-type inequality with a non-homogeneous kernel. Zbl 1308.26050
Yang, Bicheng; Chen, Qiang
2014
On half-discrete Hilbert’s inequality. Zbl 1329.26041
Rassias, Michael Th.; Yang, Bicheng
2013
A multidimensional half-discrete Hilbert-type inequality and the Riemann zeta function. Zbl 1334.26056
Rassias, Michael Th.; Yang, Bicheng
2013
A half-discrete Hilbert-type inequality with a non-homogeneous kernel and two variables. Zbl 1275.26047
Yang, Bicheng
2013
On Hilbert-type integral inequalities and their operator expressions. Zbl 1299.26060
Yang, Bicheng
2013
On a half-discrete Hilbert-type inequality similar to Mulholland’s inequality. Zbl 1282.26030
Huang, Zhenxiao; Yang, Bicheng
2013
A more accurate half-discrete Hilbert inequality with a nonhomogeneous kernel. Zbl 1275.26037
Huang, Qiliang; Yang, Bicheng
2013
On a half-discrete Mulholland-type inequality. Zbl 1261.26029
Yang, Bicheng; Cheung, Wing-Sum
2013
Half-discrete Hardy-Hilbert’s inequality with two interval variables. Zbl 1297.26045
Chen, Qiang; Yang, Bicheng
2013
A multiple Hilbert-type integral inequality with a non-homogeneous kernel. Zbl 1302.47006
Huang, Qiliang; Yang, Bicheng
2013
A half-discrete Hilbert-type inequality with a general homogeneous kernel of degree 0. Zbl 1251.26014
Yang, Bicheng; Krnić, Mario
2012
Recent developments of Hilbert-type discrete and integral inequalities with applications. Zbl 1255.26009
Debnath, Lokenath; Yang, Bicheng
2012
Hilbert-type integral operators: norms and inequalities. Zbl 1246.31001
Yang, Bicheng
2012
On a half-discrete inequality with a generalized homogeneous kernel. Zbl 1279.26047
He, Bing; Yang, Bicheng
2012
On a more accurate half-discrete Mulholland’s inequality and an extension. Zbl 1279.26044
Chen, Qiang; Yang, Bicheng
2012
On a more accurate half-discrete Hilbert’s inequality. Zbl 1277.26036
Huang, Qiliang; Yang, Bicheng
2012
A new half-discrete Mulholland-type inequality with parameters. Zbl 1253.26044
Yang, Bicheng
2012
A new more accurate half-discrete Hilbert-type inequality. Zbl 1279.26054
Wang, Aizhen; Yang, Bicheng
2012
A more accurate half-discrete Hilbert-type inequality with a non-homogeneous kernel. Zbl 1279.26061
Yang, Bicheng; Liu, Xindong
2012
A Hilbert-Hardy-type inequality. Zbl 1263.26038
Yang, Bicheng; Xie, Mingchu
2012
On the reverse Hardy-Littlewood’s inequality. Zbl 1248.26040
Wang, Aizhen; Yang, Bicheng
2012
A half-discrete Hilbert-type inequality with the non-monotone kernel and the best constant factor. Zbl 1279.26056
Xin, Dongmei; Yang, Bicheng
2012
On the norm of a multidimensional Hilbert-type operator. Zbl 1254.47011
Yang, Bichen; Krnić, Mario
2011
A half-discrete Hilbert’s inequality. Zbl 1249.26044
Yang, Bicheng
2011
A Hilbert-type integral inequality in the whole plane with the homogeneous kernel of degree $$-2$$. Zbl 1218.26031
Xin, Dongmei; Yang, Bicheng
2011
A half-discrete Hilbert-type inequality with a homogeneous kernel and an extension. Zbl 1279.26060
Yang, Bicheng; Chen, Qiang
2011
A new Hilbert-type integral inequality in the whole plane with the non-homogeneous kernel. Zbl 1279.26053
Wang, Aizhen; Yang, Bicheng
2011
On an inequality concerning a non-homogeneous kernel and the hypergeometric function. Zbl 1234.26054
He, Bing; Yang, Bicheng
2011
On a Hilbert-type integral inequality in the subinterval and its operator expression. Zbl 1200.47006
Yang, Bicheng; Rassias, Themistocles M.
2010
Hilbert-type inequalities and related operators with homogeneous kernel of degree 0. Zbl 1200.47005
Yang, Bicheng; Krnić, Mario
2010
On a new Hilbert-Hardy-type integral operator and applications. Zbl 1205.47047
Liu, Xingdong; Yang, Bicheng
2010
A new Hilbert-type operator and applications. Zbl 1224.26081
Yang, Bicheng
2010
An extension of Mulholland’s inequality. Zbl 1279.26059
Yang, Bicheng
2010
A new Hilbert-type integral inequality with homogeneous kernel of real number-degree. Zbl 1240.26057
Xie, Zitian; Yang, Bicheng; Zeng, Zheng
2010
On a relation to four basic Hilbert-type integral inequalities. Zbl 1197.26046
Zhong, Jianhua; Yang, Bicheng
2010
On a new extension of a Hilbert-type integral inequality. Zbl 1240.26058
Xin, Dongmei; Yang, Bicheng
2010
A basic Hilbert-type inequality and extensions. Zbl 1236.26027
Xin, Dongmei; Yang, Bicheng
2010
On a multiple Hilbert-type integral operator and applications. Zbl 1188.26011
Huang, Qiliang; Yang, Bicheng
2009
On a Hilbert-type operator with a class of homogeneous kernels. Zbl 1179.47025
Yang, Bicheng
2009
On a relation to two basic Hilbert-type integral inequalities. Zbl 1190.26033
Yang, Bicheng
2009
On the reverse extended Hardy’s integral inequality. Zbl 1182.26072
Yang, Bicheng
2009
On an extension of a more accurate Hilbert-type inequality. Zbl 1199.26104
Zhong, Jianhua; Yang, Bicheng
2008
On the norm of a certain self-adjoint integral operator and applications to bilinear integral inequalities. Zbl 1156.47001
Yang, Bicheng
2008
On a relation between Hilbert’s inequality and a Hilbert-type inequality. Zbl 1155.26020
Yang, Bicheng
2008
An extension of the Hilbert-type inequality and its reverse. Zbl 1169.26312
Yang, Bicheng
2008
On the norm of a linear operator and its applications. Zbl 1300.47018
Yang, Bicheng
2008
A new Hilbert-type integral inequality with some parameters and its reverse. Zbl 1141.26309
Xie, Zitian; Yang, Bicheng
2008
A Hilbert-type inequality with a mixed kernel and extensions. Zbl 1199.26103
Yang, Bicheng
2008
...and 82 more Documents
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#### Cited by 191 Authors

 96 Yang, Bicheng 21 Chen, Qiang 18 Krnić, Mario 18 Rassias, Michael Th. 14 Pečarić, Josip 12 Vuković, Predrag D. 11 Debnath, Lokenath 9 Huang, Qiliang 9 Zhao, Changjian 8 Cheung, Wingsum 8 Wang, Aizhen 7 Batbold, Tserendorj 7 He, Bing 6 He, Leping 6 Liu, Qiong 6 Xie, Zitian 5 Azar, Laith Emil 5 Hong, Yong 5 Zhong, Yanru 4 Adiyasuren, Vandanjav 4 Čižmešija, Aleksandra 4 Li, Yongjin 4 Liao, Jianquan 4 Persson, Lars-Erik 4 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 4 Zhong, Wuyi 3 Chen, Chaoping 3 Jin, Jianjun 3 Kuang, Jichang 3 Mingzhe, Gao 3 Shi, Yanping 3 Sun, Wenbing 3 Xin, Dongmei 3 Yang, Xiaojing 3 Zhang, Xiaoming 2 Abuelela, Waleed Mostafa Kamal 2 Cao, Jian 2 Chen, Lian-Ying 2 Chu, Yuming 2 El-Marouf, Sobhy A. A. 2 Guan, Yue 2 Huang, Meifa 2 Huang, Zhenxiao 2 Lu, Dawei 2 Niu, Dawei 2 O’Regan, Donal 2 Paris, Richard Bruce 2 Pogány, Tibor K. 2 Qi, Feng 2 Rezk, Haytham M. 2 Saker, Samir H. 2 Xi, Gaowen 2 Xu, Qian 2 Xuemei, Gao 2 You, Minghui 2 You, Xu 2 Zeng, Zheng 2 Zhongxue, Lü 1 AlNemer, Ghada 1 Bansah, Justice Sam 1 Baoju, Sun 1 Barza, Sorina 1 Batir, Necdet 1 Bereketoglu, Huseyin 1 Cancan, Murat 1 Cao, Junfei 1 Chang, Der-Chen E. 1 Chang, Jung-Chan 1 Changjian, Zhao 1 Chen, Dazhao 1 Chen, Dirong 1 Chen, Guangsheng 1 Choi, Junesang 1 Dragomir, Sever Silvestru 1 Fang, Siyu 1 Feng, Sheng-Ya 1 Feng, Yong 1 Gao, Mingzhe 1 Garayev, Mübariz Tapdıgoğlu 1 Ge, Weigao 1 Gu, Chuanyun 1 Gu, Zhaohui 1 Gundogdu, Dilara 1 Guochang, Wu 1 Han, Min 1 Handley, G. D. 1 Hongzheng, Xie 1 Hua, Liubin 1 Hua, Yun 1 Huang, Xianyong 1 Hussain, Sabir 1 Imoru, Christopher Olutunde 1 Jia, Weijian 1 Jiang, Weidong 1 Kaijser, Sten 1 Ke, Huazhong 1 Kim, Yong-In 1 Kim, Youngho 1 Koliha, Jerry J. 1 Kumar, Manish ...and 91 more Authors
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#### Cited in 59 Serials

 77 Journal of Inequalities and Applications 32 Journal of Mathematical Analysis and Applications 11 Journal of Mathematical Inequalities 9 International Journal of Mathematics and Mathematical Sciences 8 Applied Mathematics and Computation 7 Journal of Function Spaces 6 Abstract and Applied Analysis 6 Journal of Applied Analysis and Computation 5 Mediterranean Journal of Mathematics 4 Computers & Mathematics with Applications 4 Results in Mathematics 4 Journal of the Egyptian Mathematical Society 3 Bulletin of the Australian Mathematical Society 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Applied Mathematics Letters 3 Mathematical Inequalities & Applications 3 Journal of Function Spaces and Applications 3 Annals of Functional Analysis 2 Rocky Mountain Journal of Mathematics 2 Journal of Approximation Theory 2 Mathematica Slovaca 2 Acta Mathematica Hungarica 2 Acta Applicandae Mathematicae 2 Acta Mathematica Sinica. English Series 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Analysis Mathematica 1 Applicable Analysis 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Statistical Physics 1 Ukrainian Mathematical Journal 1 Acta Mathematica Vietnamica 1 Collectanea Mathematica 1 Colloquium Mathematicum 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Japan Academy. Series A 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Applied Mathematics and Mechanics. (English Edition) 1 Mathematical and Computer Modelling 1 Fractals 1 Integral Transforms and Special Functions 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 The Ramanujan Journal 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Journal of Interdisciplinary Mathematics 1 The ANZIAM Journal 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Advances in Difference Equations 1 Communications in Mathematical Analysis 1 Journal of Fixed Point Theory and Applications 1 Complex Analysis and Operator Theory 1 East Asian Mathematical Journal 1 Journal of Nonlinear Science and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Analysis and Mathematical Physics 1 Journal of Mathematical Extension 1 Advances in Operator Theory
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#### Cited in 22 Fields

 229 Real functions (26-XX) 66 Operator theory (47-XX) 20 Special functions (33-XX) 11 Number theory (11-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Numerical analysis (65-XX) 7 Sequences, series, summability (40-XX) 6 Approximations and expansions (41-XX) 5 Integral equations (45-XX) 4 Ordinary differential equations (34-XX) 4 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Difference and functional equations (39-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)