Integral inequalities involving generalized Erdélyi-Kober fractional integral operators

• Autorzy: Dumitru Baleanu , Sunil Dutt Purohit , Jyotindra C. Prajapati
• Języki publikacji: EN

Abstrakty

EN

Using the generalized Erdélyi-Kober fractional integrals, an attempt is made to establish certain new fractional integral inequalities, related to the weighted version of the Chebyshev functional. The results given earlier by Purohit and Raina (2013) and Dahmani et al. (2011) are special cases of results obtained in present paper.

Słowa kluczowe

EN

Fractional integral inequalities; Chebyshev functional; Erdélyi-Kober operators

Kategorie tematyczne

• 26D15: Inequalities for sums, series and integrals
• 26A33: Fractional derivatives and integrals
• 26D10: Inequalities involving derivatives and differential and integral operators

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 89-99

Daty

wydano

2016-01-01

otrzymano

2015-07-15

online

2016-02-13

zaakceptowano

2016-10-06

Twórcy

autor

Dumitru Baleanu

• Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University-06530, Ankara, Turkey, and Institute of Space Sciences, Magurele-Bucharest,

autor

Sunil Dutt Purohit

• Department of HEAS (Mathematics), Rajasthan Technical University, Kota-324010,

autor

Jyotindra C. Prajapati

• Department of Mathematics, Faculty of Technology and Engineering, Marwadi Education Foundation Group of Institutions (MEFGI), Rajkot-360003, Gujarat,

Identyfikatory

DOI

10.1515/math-2016-0007