IJAM: Volume 37, No. 4 (2024)

DOI: 10.12732/ijam.v37i4.3

A GENERALIZED q-GRUSS INEQUALITY

INVOLVING THE GENERALIZED KOBER TYPE

FRACTIONAL q-INTEGRAL OPERATOR

Jaime Castillo 1,§ , Leda Galue 2

1 Researching Center, University of La Guajira

Faculty of Engineering, Block 6

Riohacha – 440002, COLOMBIA

2 CIMA, University of Zulia

Maracaibo – 4001, VENEZUELA

Abstract. In this paper we consider the generalized fractional q-integral operator of Kober type, which contains the basic analogue of the Fox-Wright hypergeometric function to derive a new fractional q-integral inequality of Gruss type, for synchronous functions and absolutely continuous q-functions. The results obtained by Kalla and Rao, Secer et al., Zhu et al., Dahmani and Benzidane, Belarbi and Dahmani are particular cases of our results.

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How to cite this paper?
DOI: 10.12732/ijam.v37i4.3
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2024
Volume: 37
Issue: 4

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