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Pregled bibliografske jedinice broj: 1235733

Hilbert’s double series Theorem’s extensions via the Mathieu series approach

Poganj, Tibor
Hilbert’s double series Theorem’s extensions via the Mathieu series approach // Axioms, 11 (2022), 11; 1-11 doi:10.3390/axioms11110643 (međunarodna recenzija, članak, znanstveni)

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Naslov
Hilbert’s double series Theorem’s extensions via the Mathieu series approach

Autori
Poganj, Tibor

Izvornik
Axioms (2075-1680) 11 (2022), 11; 1-11

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Hilbert's double series theorem ; Hölder inequality ; Dirichlet series ; Jacobi theta function ; Riemann zeta function ; Mathieu (a, lambda)-series ; Non-homogeneous kernel ; Quasi-polynomial

Sažetak
The author's research devoted to the Hilbert's double series theorem and its various further extensions are in the focus of recent survey article. Sharp version of double series inequality result is extended in the case of not exhaustively investigated non-homogeneous kernel, which mutually covers the homogeneous kernel cases as well. Particularly, novel Hilbert's double series inequality results are presented which include the upper bounds built exclusively with non-weighted l_p-norms. The main mathematical tools are the integral expression of Mathieu (a, lambda)-series, the Hölder inequality and a generalization of the double series theorem by Yang.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Ustanove:
Pomorski fakultet, Rijeka

Profili:

Avatar Url Tibor Poganj (autor)

Poveznice na cjeloviti tekst rada:

doi www.mdpi.com

Citiraj ovu publikaciju:

Poganj, Tibor
Hilbert’s double series Theorem’s extensions via the Mathieu series approach // Axioms, 11 (2022), 11; 1-11 doi:10.3390/axioms11110643 (međunarodna recenzija, članak, znanstveni)
Poganj, T. (2022) Hilbert’s double series Theorem’s extensions via the Mathieu series approach. Axioms, 11 (11), 1-11 doi:10.3390/axioms11110643.
@article{article, author = {Poganj, Tibor}, year = {2022}, pages = {1-11}, DOI = {10.3390/axioms11110643}, keywords = {Hilbert's double series theorem, H\"{o}lder inequality, Dirichlet series, Jacobi theta function, Riemann zeta function, Mathieu (a, lambda)-series, Non-homogeneous kernel, Quasi-polynomial}, journal = {Axioms}, doi = {10.3390/axioms11110643}, volume = {11}, number = {11}, issn = {2075-1680}, title = {Hilbert’s double series Theorem’s extensions via the Mathieu series approach}, keyword = {Hilbert's double series theorem, H\"{o}lder inequality, Dirichlet series, Jacobi theta function, Riemann zeta function, Mathieu (a, lambda)-series, Non-homogeneous kernel, Quasi-polynomial} }
@article{article, author = {Poganj, Tibor}, year = {2022}, pages = {1-11}, DOI = {10.3390/axioms11110643}, keywords = {Hilbert's double series theorem, H\"{o}lder inequality, Dirichlet series, Jacobi theta function, Riemann zeta function, Mathieu (a, lambda)-series, Non-homogeneous kernel, Quasi-polynomial}, journal = {Axioms}, doi = {10.3390/axioms11110643}, volume = {11}, number = {11}, issn = {2075-1680}, title = {Hilbert’s double series Theorem’s extensions via the Mathieu series approach}, keyword = {Hilbert's double series theorem, H\"{o}lder inequality, Dirichlet series, Jacobi theta function, Riemann zeta function, Mathieu (a, lambda)-series, Non-homogeneous kernel, Quasi-polynomial} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
    • Emerging Sources Citation Index (ESCI)
  • Scopus

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