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Pregled bibliografske jedinice broj: 996421

A unified approach to fractal Hilbert-type inequalities


Batbold, Tserendorj; Krnić, Mario; Vuković, Predrag
A unified approach to fractal Hilbert-type inequalities // Journal of inequalities and applications, 2019:117 (2019), 117, 13 doi:10.1186/s13660-019-2076-9 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 996421 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
A unified approach to fractal Hilbert-type inequalities

Autori
Batbold, Tserendorj ; Krnić, Mario ; Vuković, Predrag

Izvornik
Journal of inequalities and applications (1029-242X) 2019:117 (2019); 117, 13

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

Ključne riječi
Hilbert inequality, conjugate parameters, local fractional integral, homogeneous function, the best possible constant

Sažetak
In the present study we provide a unified treatment of fractal Hilbert-type inequalities. Our main result is a pair of equivalent fractal Hilbert-type inequalities including a general kernel and weight functions. A particular emphasis is devoted to a class of homogeneous kernels. In addition, we impose appropriate conditions for which the constants appearing on the right-hand sides of the established inequalities are the best possible. As an application, our results are compared with some previously known from the literature.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Učiteljski fakultet, Zagreb

Profili:

Avatar Url Predrag Vuković (autor)

Avatar Url Mario Krnić (autor)

Citiraj ovu publikaciju:

Batbold, Tserendorj; Krnić, Mario; Vuković, Predrag
A unified approach to fractal Hilbert-type inequalities // Journal of inequalities and applications, 2019:117 (2019), 117, 13 doi:10.1186/s13660-019-2076-9 (međunarodna recenzija, članak, znanstveni)
Batbold, T., Krnić, M. & Vuković, P. (2019) A unified approach to fractal Hilbert-type inequalities. Journal of inequalities and applications, 2019:117, 117, 13 doi:10.1186/s13660-019-2076-9.
@article{article, author = {Batbold, Tserendorj and Krni\'{c}, Mario and Vukovi\'{c}, Predrag}, year = {2019}, pages = {13}, DOI = {10.1186/s13660-019-2076-9}, chapter = {117}, keywords = {Hilbert inequality, conjugate parameters, local fractional integral, homogeneous function, the best possible constant}, journal = {Journal of inequalities and applications}, doi = {10.1186/s13660-019-2076-9}, volume = {2019:117}, issn = {1029-242X}, title = {A unified approach to fractal Hilbert-type inequalities}, keyword = {Hilbert inequality, conjugate parameters, local fractional integral, homogeneous function, the best possible constant}, chapternumber = {117} }
@article{article, author = {Batbold, Tserendorj and Krni\'{c}, Mario and Vukovi\'{c}, Predrag}, year = {2019}, pages = {13}, DOI = {10.1186/s13660-019-2076-9}, chapter = {117}, keywords = {Hilbert inequality, conjugate parameters, local fractional integral, homogeneous function, the best possible constant}, journal = {Journal of inequalities and applications}, doi = {10.1186/s13660-019-2076-9}, volume = {2019:117}, issn = {1029-242X}, title = {A unified approach to fractal Hilbert-type inequalities}, keyword = {Hilbert inequality, conjugate parameters, local fractional integral, homogeneous function, the best possible constant}, chapternumber = {117} }

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
  • Scopus


Citati:





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