On a Hilbert-Type Integral Inequality in the Whole Plane Related to the Extended Riemann Zeta Function

Michael Th. Rassias; Bicheng Yang

doi:10.1007/s11785-018-0830-5

On a Hilbert-Type Integral Inequality in the Whole Plane Related to the Extended Riemann Zeta Function

Complex Analysis and Operator Theory ◽

10.1007/s11785-018-0830-5 ◽

2018 ◽

Vol 13 (4) ◽

pp. 1765-1782 ◽

Cited By ~ 3

Author(s):

Michael Th. Rassias ◽

Bicheng Yang

Keyword(s):

Zeta Function ◽

Riemann Zeta Function ◽

Integral Inequality ◽

Type Integral ◽

Riemann Zeta ◽

Hilbert Type

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A Multidimensional Hilbert-Type Integral Inequality Related to the Riemann Zeta Function

Applications of Mathematics and Informatics in Science and Engineering - Springer Optimization and Its Applications ◽

10.1007/978-3-319-04720-1_26 ◽

2014 ◽

pp. 417-433 ◽

Cited By ~ 10

Author(s):

Michael Th. Rassias ◽

Bicheng Yang

Keyword(s):

Zeta Function ◽

Riemann Zeta Function ◽

Integral Inequality ◽

Type Integral ◽

The Riemann Zeta Function ◽

Riemann Zeta ◽

Hilbert Type

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A FEW EQUIVALENT STATEMENTS OF A HILBERT-TYPE INTEGRAL INEQUALITY WITH THE RIEMANN-ZETA FUNCTION

Journal of Applied Analysis & Computation ◽

10.11948/20190238 ◽

2020 ◽

Vol 10 (6) ◽

pp. 2400-2417

Author(s):

Weiliang Wu ◽

◽

Bicheng Yang ◽

Keyword(s):

Zeta Function ◽

Riemann Zeta Function ◽

Integral Inequality ◽

Type Integral ◽

The Riemann Zeta Function ◽

Riemann Zeta ◽

Hilbert Type

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On a Hilbert-Type Integral Inequality in the Whole Plane Related to the Extended Riemann Zeta Function

Mathematical Analysis and Applications - Springer Optimization and Its Applications ◽

10.1007/978-3-030-31339-5_19 ◽

2019 ◽

pp. 511-528

Author(s):

Michael Th. Rassias ◽

Bicheng Yang

Keyword(s):

Zeta Function ◽

Riemann Zeta Function ◽

Integral Inequality ◽

Type Integral ◽

Riemann Zeta ◽

Hilbert Type

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Equivalent Conditions of a Reverse Hilbert-Type Integral Inequality with the Kernel of Hyperbolic Cotangent Function Related to the Riemann Zeta Function

Trigonometric Sums and Their Applications ◽

10.1007/978-3-030-37904-9_14 ◽

2020 ◽

pp. 289-305

Author(s):

Bicheng Yang

Keyword(s):

Zeta Function ◽

Riemann Zeta Function ◽

Integral Inequality ◽

Type Integral ◽

The Riemann Zeta Function ◽

Riemann Zeta ◽

Equivalent Conditions ◽

Hilbert Type

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Equivalent properties of a Hilbert-type integral inequality with the best constant factor related to the Hurwitz zeta function

Annals of Functional Analysis ◽

10.1215/20088752-2017-0031 ◽

2018 ◽

Vol 9 (2) ◽

pp. 282-295 ◽

Cited By ~ 6

Author(s):

Michael Rassias ◽

Bicheng Yang

Keyword(s):

Zeta Function ◽

Integral Inequality ◽

Constant Factor ◽

Hurwitz Zeta Function ◽

Best Constant ◽

Type Integral ◽

Equivalent Properties ◽

Best Constant Factor ◽

Hilbert Type

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On a Few Equivalent Statements of a Hilbert-Type Integral Inequality in the Whole Plane with the Hurwitz Zeta Function

Analysis and Operator Theory - Springer Optimization and Its Applications ◽

10.1007/978-3-030-12661-2_15 ◽

2019 ◽

pp. 319-352

Author(s):

Themistocles M. Rassias ◽

Bicheng Yang

Keyword(s):

Zeta Function ◽

Integral Inequality ◽

Hurwitz Zeta Function ◽

Type Integral ◽

Hilbert Type

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A multidimensional half-discrete Hilbert-type inequality and the Riemann zeta function

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.09.040 ◽

2013 ◽

Vol 225 ◽

pp. 263-277 ◽

Cited By ~ 30

Author(s):

Michael Th. Rassias ◽

Bicheng Yang

Keyword(s):

Zeta Function ◽

Riemann Zeta Function ◽

Type Inequality ◽

The Riemann Zeta Function ◽

Riemann Zeta ◽

Hilbert Type

Download Full-text

On an equivalent property of a reverse Hilbert-type integral inequality related to the extended Hurwitz-zeta function

Journal of Mathematical Inequalities ◽

10.7153/jmi-2019-13-23 ◽

2019 ◽

pp. 315-334 ◽

Cited By ~ 7

Author(s):

Michael Th. Rassias ◽

Bicheng Yang

Keyword(s):

Zeta Function ◽

Integral Inequality ◽

Hurwitz Zeta Function ◽

Type Integral ◽

Equivalent Property ◽

Hilbert Type

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Equivalent statements of a Hilbert-type integral inequality with the extended Hurwitz zeta function in the whole plane

Journal of Mathematical Inequalities ◽

10.7153/jmi-2020-14-67 ◽

2020 ◽

pp. 1039-1054

Author(s):

Aizhen Wang ◽

Bicheng Yang

Keyword(s):

Zeta Function ◽

Integral Inequality ◽

Hurwitz Zeta Function ◽

Type Integral ◽

Hilbert Type

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On the reverse Hardy-type integral inequalities in the whole plane with the extended Riemann-Zeta function

Journal of Mathematical Inequalities ◽

10.7153/jmi-2020-14-33 ◽

2020 ◽

pp. 525-546

Author(s):

Michael Th. Rassias ◽

Bicheng Yang ◽

Andrei Raigorodskii

Keyword(s):

Zeta Function ◽

Riemann Zeta Function ◽

Integral Inequalities ◽

Hardy Type ◽

Type Integral ◽

Riemann Zeta

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