On a Hilbert-type integral inequality in the whole plane with the equivalent forms

Journal article

B. C. Yang, D. Andrica, Bagdasar, O. and M. Th. Rassias 2023. On a Hilbert-type integral inequality in the whole plane with the equivalent forms. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. (57), pp. 1-16. https://doi.org/10.1007/s13398-023-01388-9
AuthorsB. C. Yang, D. Andrica, Bagdasar, O. and M. Th. Rassias
Abstract

In the present paper we establish a few equivalent conditions of a Hilbert-type integral inequality with a non-homogeneous kernel in the whole plane. A few equivalent conditions of a Hilbert-type integral inequality with the homogeneous kernel in the whole plane are deduced, in the form of applications. We additionally consider operator expressions and several interesting particular cases.

KeywordsHilbert-type integral inequality ; non-homogeneous kernel; operator expressions
Year2023
JournalRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
Journal citation(57), pp. 1-16
PublisherSpringer
ISSN1578-7303
1579-1505
Digital Object Identifier (DOI)https://doi.org/10.1007/s13398-023-01388-9
Web address (URL)http://dx.doi.org/10.1007/s13398-023-01388-9
Output statusPublished
Publication dates22 Jan 2023
Publication process dates
Accepted03 Jan 2023
Deposited01 Mar 2023
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On the characterization of periodic complex Horadam sequences
Bagdasar, Ovidiu and Larcombe, Peter J. 2013. On the characterization of periodic complex Horadam sequences. Fibonacci Quarterly.
On a result of Bunder involving Horadam sequences: A proof and generalization
Larcombe, Peter J. and Bagdasar, Ovidiu 2013. On a result of Bunder involving Horadam sequences: A proof and generalization. Fibonacci Quarterly.
Influence discovery in semantic networks: An initial approach
Trovati, M. and Bagdasar, O. 2014. Influence discovery in semantic networks: An initial approach. IEEE. https://doi.org/10.1109/uksim.2014.48
Complementary iInequalities involving the Stolarsky Mean
Bagdasar, Ovidiu 2010. Complementary iInequalities involving the Stolarsky Mean. Journal of Inequalities and Applications. https://doi.org/10.1155/2010/492570
Concise computer mathematics: tutorials on theory and problems
Bagdasar, Ovidiu 2013. Concise computer mathematics: tutorials on theory and problems. Springer.
On the characterization of periodic generalized Horadam sequences
Bagdasar, Ovidiu and Larcombe, Peter J. 2014. On the characterization of periodic generalized Horadam sequences. Journal of Difference Equations and Applications. https://doi.org/10.1080/10236198.2014.891022
Local maximum points of explicitly quasiconvex functions
Bagdasar, Ovidiu and Popovici, Nicolae 2014. Local maximum points of explicitly quasiconvex functions. Optimization Letters. https://doi.org/10.1007/s11590-014-0781-3
A horadam-based pseudo-random number generator
Bagdasar, O.D., Chen, M. and Bagdasar, O. 2014. A horadam-based pseudo-random number generator. IEEE. https://doi.org/10.1109/uksim.2014.55
On the structure of periodic complex Horadam orbits
Bagdasar, Ovidiu D., Larcombe, Peter J., Anjum, Ashiq and Bagdasar, O. 2016. On the structure of periodic complex Horadam orbits. Carpathian Journal of Mathematics.
Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems
Popa, I.-L., Ceauşu, T., Bagdasar, O. and Agarwal, R.P. 2016. Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems. Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica. 27 (2), pp. 153-166. https://doi.org/10.2478/auom-2019-0025
On some functions involving the lcm and gcd of integer tuples
Bagdasar, Ovidiu 2014. On some functions involving the lcm and gcd of integer tuples. Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics. https://doi.org/10.5937/SPSUNP1402091B
ON A RESULT OF BUNDER INVOLVING HORADAM SEQUENCES: A NEW PROOF
Larcombe, Peter J., Bagdasar, O. and Fennessey, Eric J. 2014. ON A RESULT OF BUNDER INVOLVING HORADAM SEQUENCES: A NEW PROOF. Fibonacci Quarterly. pp. 175-177.