On harmonic summability of difference sequences of fractional order

The present study introduces the concepts of lacunary $ \Delta^\alpha(H,1)- $ summability of order $ \beta $, lacunary strongly harmonically summability of order $ \beta $, lacunary statistical logarithmic convergence of order $ \beta $ of sequences of real numbers and some relations related to these concepts are examined.

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Publication Details

Journal
Mathematical Foundations of Computing
Published
2025-09-16
DOI
https://doi.org/10.3934/mfc.2025029
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
0.00

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article

On harmonic summability of difference sequences of fractional order

Mikâil Et, Nazlım Deniz Aral, Hacer Şengül Kandemi̇r
Mathematical Foundations of Computing
Approximation Theory and Sequence Spaces
article

On harmonic summability of difference sequences of fractional order

Mikâil Et, Nazlım Deniz Aral, Hacer Şengül Kandemi̇r
article en

Abstract

The present study introduces the concepts of lacunary $ \Delta^\alpha(H,1)- $ summability of order $ \beta $, lacunary strongly harmonically summability of order $ \beta $, lacunary statistical logarithmic convergence of order $ \beta $ of sequences of real numbers and some relations related to these concepts are examined.

Mathematical Foundations of ComputingVol. 10(0)
Fırat University (TR), Harran University (TR)
Yildiz Teknik Üniversitesi
Openalex Percentile: Top 76%
Approximation Theory and Sequence Spaces
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