Exploring $s$-$\e$-condition and applications to some Ostrowski type inequalities via Hadamard fractional integrals

In: Mathematica Slovaca, vol. 64, no. 6

Jinrong Wang - Jianhua Deng - Michal Fečkan

Detaily:

Rok, strany: 2014, 1381 - 1396

Kľúčové slová:

Ostrowski type inequalities, Hadamard fractional integrals, $s$-$\e$-condition

DOI: https://doi.org/10.2478/s12175-014-0281-z

O článku:

In this paper, a new identity for Hadamard fractional integrals via differentiable mappings is established. A new concept named by $s$-$\e$-condition is explored to overcome some essence difficulties from the singular kernels in Hadamard fractional integrals. With the help of the new concept $s$-$\e$-condition and the obtained identity for Hadamard fractional integrals, some new Ostrowski type inequalities for Hadamard fractional integrals are obtained.

Ako citovať:

ISO 690:

Wang, J., Deng, J., Fečkan, M. 2014. Exploring $s$-$\e$-condition and applications to some Ostrowski type inequalities via Hadamard fractional integrals. In Mathematica Slovaca, vol. 64, no.6, pp. 1381-1396. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0281-z

APA:

Wang, J., Deng, J., Fečkan, M. (2014). Exploring $s$-$\e$-condition and applications to some Ostrowski type inequalities via Hadamard fractional integrals. Mathematica Slovaca, 64(6), 1381-1396. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0281-z

O vydaní: