On $S_{\alpha }^{\beta }(\theta ,A,F)-$convergence and strong $N_{\alpha }^{\beta }(\theta ,A,F)-$convergence

Hacer Şengül Kandemir; Mikail Et; Hüseyin Çakalli

doi:10.5269/bspm.51415

Hacer Şengül Kandemir Harran University
Mikail Et Fırat University https://orcid.org/0000-0001-8292-7819
Hüseyin Çakalli Maltepe University https://orcid.org/0000-0001-7344-5826

Abstract

In this paper, we introduce strong $N_{\alpha }^{\beta }(\theta ,A,F)-$convergence and $S_{\alpha }^{\beta }(\theta ,A,F)-$% convergence with respect to a sequence of modulus functions and give some connections between strongly $N_{\alpha }^{\beta }(\theta ,A,F)-$convergent sequences and $S_{\alpha }^{\beta }(\theta ,A,F)-$convergent sequences for $% 0<\alpha \leq \beta \leq 1$.

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