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In this paper, the problem of -convergence of Fourier series with quasi-monotone coefficients is handled by using the -mean. Also, an example is given about the Fourier series of a signal (function) and its mean. [ABSTRACT FROM AUTHOR]

In this paper, a theorem dealing with the |N, pn|k summability factors of infinite series has been generalized to |A, pn, β; γ|k summability method by using (Φ, δ)- monotone sequences. This new theorem also includes some new results. [ABSTRACT FROM AUTHOR]

In this paper, a general theorem dealing with γ - / A, pn/k summability of an infinite series has been proved by using an almost increasing sequence. Also, some results have been obtained. [ABSTRACT FROM AUTHOR]

In the present paper, absolute matrix summability of infinite series has been studied. A new theorem concerned with absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series, has been proved under weaker conditions by using quasi b-power increasing sequences. Also, a known result dealingwith absolute Riesz summability has been given. [ABSTRACT FROM AUTHOR]

In this paper, we have generalized a known theorem on |N, pn|k summability factors of infinite series to the φ - |A, pn|k summability by using an almost increasing sequence. This new theorem also includes several new results. [ABSTRACT FROM AUTHOR]

In this paper, a theorem dealing with φ - ∣A∣k summability method, which generalizes a theorem of Bor [1] on ∣R, pn∣k summability method, has been proved. [ABSTRACT FROM AUTHOR]