Invariant means and lacunary sequence spaces of order (α, β)
In this article, we use the notion of lacunary statistical convergence of order (α,β)\left(\alpha ,\beta ) to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function ℳ=(ℵk){\mathcal{ {\mathcal M} }}=\left({\
Ayman-Mursaleen Mohammad +3 more
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© Hindawi Publishing Corp. ON THE BANACH ALGEBRA �(lp(α))
We give some properties of the Banach algebra of bounded operators (lp(α)) for 1 ≤ p ≤∞, where lp(α) = (1/α) −1 ∗lp. Then we deal with the continued fractions and give some properties of the operator ∆ h for h>0 or integer greater than or equal to ...
Bruno De Malafosse
core
ON ASYMPTOTICALLY LACUNARY σ-STATISTICAL EQUIVALENT SEQUENCES OF FUZZY NUMBERS
This paper presents the asymptotically lacunary σ-statistical equivalent which is a natural combination of the definition for asymptotically equivalent, invariant mean and lacunary statistical convergence of fuzzy numbers.
EKREM SAVAŞ
core
A survey of certain results on strong approximation by orthogonal series
Leindler László
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Approximation of certain bivariate functions by almost Euler means of double Fourier series. [PDF]
Rathore A, Singh U.
europepmc +1 more source
Generalization of the space l(p) derived by absolute Euler summability and matrix operators. [PDF]
Gökçe F, Sarıgöl MA.
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Best approximation of functions in generalized Hölder class. [PDF]
Nigam HK, Hadish M.
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Approximation of functions in the generalized Zygmund class using Hausdorff means. [PDF]
Singh MV, Mittal ML, Rhoades BE.
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Weighted almost convergence and related infinite matrices. [PDF]
Mohiuddine SA, Alotaibi A.
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[Formula: see text]-statistical convergence of order α̃ for double sequences. [PDF]
Işik M, Altin Y.
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