[PDF] Top 20 Application of f lacunary statistical convergence to approximation theorems
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Application of f lacunary statistical convergence to approximation theorems
... Statistical convergence had not been examined in approximation theory until ...second approximation theorems were first proved via statistical con- vergence by Gadjiev and Orhan ... See full document
25
Fibonacci statistical convergence and Korovkin type approximation theorems
... Approximation theory has important applications in the theory of polynomial approxi- mation in various areas of functional analysis. The study of the Korovkin type approxima- tion theory is a well-established area ... See full document
15
Coincidence and invariant approximation theorems for generalized f nonexpansive multivalued mappings
... 3.2. Approximation theory. As an application of our common fixed point results, we obtain the following invariant approximation results which provide substantial general- izations of recent ... See full document
18
New Definitons about AI-Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences
... Statistical convergence was given by Zygmund in the …rst edition of his mono- graph published in Warsaw in 1935 [23]. It was formally introduced by Fast [6] and Steinhaus [21] and later was reintroduced by ... See full document
12
Some approximation results for generalized Kantorovich type operators
... Statistical convergence [] and its variants, extensions and generalizations have been proved to be an active area of recent research in summability theory, ...e.g., lacunary sta- tistical ... See full document
14
Lacunary statistical convergence of double sequences in topological groups
... of statistical convergence, which is an extension of the usual idea of conver- gence, was introduced by Fast [] and also independently by Schoenberg [] for real and complex sequences, but rapid ... See full document
10
On generalized difference lacunary statistical convergence in a paranormed space
... extend convergence of sequences, the notion of statistical convergence was introduced by Fast [] and Steinhaus [] and several generalizations and applications of this concept have been investigated ... See full document
7
On lacunary double statistical convergence in locally solid Riesz spaces
... The idea of statistical convergence was further extended to I -convergence in [] using the notion of ideals of N with many interesting consequences. More investigations in this direction and more ... See full document
12
Lacunary Δ statistical convergence in intuitionistic fuzzy n normed space
... the approximation theory ...of statistical convergence was investigated by Steinhaus [] and Fast ...of lacunary statistical ...investigated lacunary statisti- cal ... See full document
12
Rough \({I} {2}\) lacunary statistical convergence of double sequences
... of lacunary ideal convergence of real sequences was introduced in ...-statistical convergence and I -lacunary statistical convergence by using ...tistical ... See full document
16
2. On I-statistical and I-lacunary statistical convergence of weight $g$
... The idea of statistical convergence was further extended to I-convergence in [13] using the notion of ideals of N with many interesting consequences. More investigations in this direction and more ... See full document
10
A new variant of statistical convergence
... of statistical convergence was first introduced by Fast ...of convergence in density as introduced by Buck ...studied statistical convergence as a summability method and Zygmund [] ... See full document
8
Uniform Lacunary Statistical Convergence on Time Scales
... of statistical convergence goes back to the study of Zygmund [42] which was published in ...1935. Statistical convergence of number sequences was formally introduced by Fast [13] and Steinhaus ... See full document
8
Density by moduli and Wijsman lacunary statistical convergence of sequences of sets
... non-matrix convergence, namely, f -statistical convergence which is, in fact, a generalization of the concept of statistical convergence and intermediate between the ordinary ... See full document
20
The convergence of \((p,q)\) Bernstein operators for the Cauchy kernel with a pole via divided difference
... Moreover, since for q > p = 1 we recapture the q-Bernstein operators studied in [30], it is clear that the interval of uniform convergence for B n p,q in Theorem 3.1, i.e. (–p m+1 q m+1 , p m+1 q m+1 ), is ... See full document
11
Wijsman Rough Lacunary Statistical Convergence on I Cesaro Triple Sequences
... the statistical limit, provided that the natural density of the set consisting of the indices of these terms is ...distinguishes statistical convergence from ordinary ... See full document
11
Statistical convergence in a paranormed space
... of statistical convergence for sequences of real numbers was introduced by Fast [1] and Steinhaus [2] independently in the same year 1951 and since then sev- eral generalizations and applications of this ... See full document
6
A generalization on ℐ asymptotically lacunary statistical equivalent sequences
... of statistical convergence, which was introduced by Fast (see []) and that is based on the notion of an ideal of the subset of positive inte- gers ... See full document
9
Quadratic approximation and its application to acceleration of convergence
... naturally to extrapolation by quadratic approximation and hence to new methods of accelerating the convergence of slowly convergent sequences using either the basic quadratic approximati[r] ... See full document
207
On some spaces of almost lacunary convergent sequences derived by Riesz mean and weighted almost lacunary statistical convergence in a real n normed space
... the lacunary sequence in a real n-normed ...of lacunary sequence and Riesz mean, we obtain a new concept of statistical convergence which will be called weighted almost lacunary ... See full document
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