## Tbilisi Mathematical Journal

### Sufficient conditions for infinite series by absolute $\varphi$-product summable factor

#### Abstract

Absolute Cesàro-Riesz summability method has been introduced and later on used to established a theorem containing least set of sufficient conditions for absolute $\varphi$-Cesàro-Riesz summable factor of an infinite series. The result has also been validated with the published literature on $\varphi-|\bar{N}, p_n|_k$ summable factor by reducing certain conditions in the presented result.

#### Note

The authors express their sincere gratitude to the Department of Science and Technology (India) for providing financial support to the second author under INSPIRE Scheme (Innovation in Science Pursuit for Inspired Research Scheme).

#### Article information

Source
Tbilisi Math. J., Volume 12, Issue 4 (2019), 29-41.

Dates
Accepted: 23 September 2019
First available in Project Euclid: 3 January 2020

https://projecteuclid.org/euclid.tbilisi/1578020565

Digital Object Identifier
doi:10.32513/tbilisi/1578020565

Mathematical Reviews number (MathSciNet)
MR4047573

#### Citation

Sonker, Smita; Munjal, Alka. Sufficient conditions for infinite series by absolute $\varphi$-product summable factor. Tbilisi Math. J. 12 (2019), no. 4, 29--41. doi:10.32513/tbilisi/1578020565. https://projecteuclid.org/euclid.tbilisi/1578020565

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