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Pregled bibliografske jedinice broj: 898255

Unified treatment of fractional integral inequalities via linear functionals


Bombardelli, Mea; Nikolova, Ludmila; Varošanec, Sanja
Unified treatment of fractional integral inequalities via linear functionals // Miskolc Mathematical Notes, 18 (2017), 1; 139-154 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 898255 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Unified treatment of fractional integral inequalities via linear functionals

Autori
Bombardelli, Mea ; Nikolova, Ludmila ; Varošanec, Sanja

Izvornik
Miskolc Mathematical Notes (1787-2405) 18 (2017), 1; 139-154

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

Ključne riječi
the Chebyshev inequality, the Chebyshev difference, fractional integral operator, isotonic linear functional, Lipschitz function

Sažetak
In the paper we prove several inequalities involving two isotonic linear functionals. We consider inequalities for functions with variable bounds, for Lipschitz and H\" older type functions etc. These results give us an elegant method for obtaining a number of inequalities for various kinds of fractional integral operators such as for the Riemann-Liouville fractional integral operator, the Hadamard fractional integral operator, fractional hyperqeometric integral and corresponding q-integrals.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Sanja Varošanec (autor)

Avatar Url Mea Bombardelli (autor)

Poveznice na cjeloviti tekst rada:

real.mtak.hu arxiv.org

Citiraj ovu publikaciju:

Bombardelli, Mea; Nikolova, Ludmila; Varošanec, Sanja
Unified treatment of fractional integral inequalities via linear functionals // Miskolc Mathematical Notes, 18 (2017), 1; 139-154 (međunarodna recenzija, članak, znanstveni)
Bombardelli, M., Nikolova, L. & Varošanec, S. (2017) Unified treatment of fractional integral inequalities via linear functionals. Miskolc Mathematical Notes, 18 (1), 139-154.
@article{article, author = {Bombardelli, Mea and Nikolova, Ludmila and Varo\v{s}anec, Sanja}, year = {2017}, pages = {139-154}, keywords = {the Chebyshev inequality, the Chebyshev difference, fractional integral operator, isotonic linear functional, Lipschitz function}, journal = {Miskolc Mathematical Notes}, volume = {18}, number = {1}, issn = {1787-2405}, title = {Unified treatment of fractional integral inequalities via linear functionals}, keyword = {the Chebyshev inequality, the Chebyshev difference, fractional integral operator, isotonic linear functional, Lipschitz function} }
@article{article, author = {Bombardelli, Mea and Nikolova, Ludmila and Varo\v{s}anec, Sanja}, year = {2017}, pages = {139-154}, keywords = {the Chebyshev inequality, the Chebyshev difference, fractional integral operator, isotonic linear functional, Lipschitz function}, journal = {Miskolc Mathematical Notes}, volume = {18}, number = {1}, issn = {1787-2405}, title = {Unified treatment of fractional integral inequalities via linear functionals}, keyword = {the Chebyshev inequality, the Chebyshev difference, fractional integral operator, isotonic linear functional, Lipschitz function} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts





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