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Pregled bibliografske jedinice broj: 820982

Opial-type inequalities for fractional integral operator involving Mittag-Leffler function


Farid, Ghulam; Pečarić, Josip; Tomovski, Živorad
Opial-type inequalities for fractional integral operator involving Mittag-Leffler function // Fractional differential calculus, 5 (2015), 1; 93-106 doi:10.7153/fdc-05-09 (podatak o recenziji nije dostupan, članak, znanstveni)


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Naslov
Opial-type inequalities for fractional integral operator involving Mittag-Leffler function

Autori
Farid, Ghulam ; Pečarić, Josip ; Tomovski, Živorad

Izvornik
Fractional differential calculus (1847-9677) 5 (2015), 1; 93-106

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

Ključne riječi
Opial-type inequality; fractional integral; fractional derivative; Mittag–Leffler function

Sažetak
In this paper we give generalization of Opial-type inequalities by using generalized fractional integral operator involving generalized Mittag–Leffler function. We deduce some results which already have been proved. Also we consider n-exponential convexity of some non-negative differences of inequalities involving Mittag-Leffler function and deduce their exponential convexity and log-convexity.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( 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; Tomovski, Živorad
Opial-type inequalities for fractional integral operator involving Mittag-Leffler function // Fractional differential calculus, 5 (2015), 1; 93-106 doi:10.7153/fdc-05-09 (podatak o recenziji nije dostupan, članak, znanstveni)
Farid, G., Pečarić, J. & Tomovski, Ž. (2015) Opial-type inequalities for fractional integral operator involving Mittag-Leffler function. Fractional differential calculus, 5 (1), 93-106 doi:10.7153/fdc-05-09.
@article{article, author = {Farid, Ghulam and Pe\v{c}ari\'{c}, Josip and Tomovski, \v{Z}ivorad}, year = {2015}, pages = {93-106}, DOI = {10.7153/fdc-05-09}, keywords = {Opial-type inequality, fractional integral, fractional derivative, Mittag–Leffler function}, journal = {Fractional differential calculus}, doi = {10.7153/fdc-05-09}, volume = {5}, number = {1}, issn = {1847-9677}, title = {Opial-type inequalities for fractional integral operator involving Mittag-Leffler function}, keyword = {Opial-type inequality, fractional integral, fractional derivative, Mittag–Leffler function} }
@article{article, author = {Farid, Ghulam and Pe\v{c}ari\'{c}, Josip and Tomovski, \v{Z}ivorad}, year = {2015}, pages = {93-106}, DOI = {10.7153/fdc-05-09}, keywords = {Opial-type inequality, fractional integral, fractional derivative, Mittag–Leffler function}, journal = {Fractional differential calculus}, doi = {10.7153/fdc-05-09}, volume = {5}, number = {1}, issn = {1847-9677}, title = {Opial-type inequalities for fractional integral operator involving Mittag-Leffler function}, keyword = {Opial-type inequality, fractional integral, fractional derivative, Mittag–Leffler function} }

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