Pretražite po imenu i prezimenu autora, mentora, urednika, prevoditelja

Napredna pretraga

Pregled bibliografske jedinice broj: 651069

Opial type integral inequalities for fractional derivatives


Farid, Ghulam; Pečarić, Josip
Opial type integral inequalities for fractional derivatives // Fractional differential calculus, 2 (2012), 1; 31-54 doi:10.7153/fdc-02-03 (podatak o recenziji nije dostupan, članak, znanstveni)


CROSBI ID: 651069 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Opial type integral inequalities for fractional derivatives

Autori
Farid, Ghulam ; Pečarić, Josip

Izvornik
Fractional differential calculus (1847-9677) 2 (2012), 1; 31-54

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

Ključne riječi
Opial type inequalities; Cauchy means; monotonicity; Riemann.Liouville fractional integral; Caputo fractional derivative

Sažetak
. We consider a certain class of convex functions in an integral inequality. Mean value theorems, Cauchy means, exponential convexity, and monotonicity are proved. Applications of Riemann-Liouville fractional integral, Caputo fractional derivative and integral representation of Riemann-Liouville fractional derivative are given.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)

Ustanove:
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Josip Pečarić (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Farid, Ghulam; Pečarić, Josip
Opial type integral inequalities for fractional derivatives // Fractional differential calculus, 2 (2012), 1; 31-54 doi:10.7153/fdc-02-03 (podatak o recenziji nije dostupan, članak, znanstveni)
Farid, G. & Pečarić, J. (2012) Opial type integral inequalities for fractional derivatives. Fractional differential calculus, 2 (1), 31-54 doi:10.7153/fdc-02-03.
@article{article, author = {Farid, Ghulam and Pe\v{c}ari\'{c}, Josip}, year = {2012}, pages = {31-54}, DOI = {10.7153/fdc-02-03}, keywords = {Opial type inequalities, Cauchy means, monotonicity, Riemann.Liouville fractional integral, Caputo fractional derivative}, journal = {Fractional differential calculus}, doi = {10.7153/fdc-02-03}, volume = {2}, number = {1}, issn = {1847-9677}, title = {Opial type integral inequalities for fractional derivatives}, keyword = {Opial type inequalities, Cauchy means, monotonicity, Riemann.Liouville fractional integral, Caputo fractional derivative} }
@article{article, author = {Farid, Ghulam and Pe\v{c}ari\'{c}, Josip}, year = {2012}, pages = {31-54}, DOI = {10.7153/fdc-02-03}, keywords = {Opial type inequalities, Cauchy means, monotonicity, Riemann.Liouville fractional integral, Caputo fractional derivative}, journal = {Fractional differential calculus}, doi = {10.7153/fdc-02-03}, volume = {2}, number = {1}, issn = {1847-9677}, title = {Opial type integral inequalities for fractional derivatives}, keyword = {Opial type inequalities, Cauchy means, monotonicity, Riemann.Liouville fractional integral, Caputo fractional derivative} }

Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts


Citati:





    Contrast
    Increase Font
    Decrease Font
    Dyslexic Font