Mathematical Approximation and Integration

In this paper, the concepts of statistically convergent and statis tically Cauchy sequences of fuzzy numbers have been introduced and discussed.Also /(p)-spaces of sequences of fuzzy numbers have been introduced.

In this paper we provide various approximation results concerning the classical Korovkin theorem via A -statistical convergence. We also study the rates of A -statistical convergence of approximating positive linear operators and give some examples.

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• VATAN KARAKAYA

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• FAİK GÜRSOY

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• MÜZEYYEN ERTÜRK

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• CEMAL BELEN

In the present paper, we introduce a new band matrix and define the sequence space where is the k th Fibonacci number for every . We also establish some inclusion relations concerning this space and determine its α-, β-, γ-duals. Further, we characterize some matrix classes on the space and examine some geometric prop…

• EMRAH EVREN KARA

Using $A$-statistical convergence, we prove a Korovkin type approximation theorem which concerns the problem of approximating a function $f$ by means of a sequence $\{T_{n}(f;x)\}$ of positive linear operators acting from a weighted space $C_{\varrho_{1}}

• OKTAY DUMAN

In this paper, we introduce new modifications of Szász–Mirakyan operators based on (p,q)‐integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4. Some approximation properties of new operators are explored: the unifor…

• TUNCER ACAR

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• FARUK ÖZGER

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• TUNCER ACAR

We construct Stancu-type Bernstein operators based on Bézier bases with shape parameter λ ∈ [ − 1 , 1 ] and calculate their moments. The uniform convergence of the operator and global approximation result by means of Ditzian-Totik modulus of smoothness are established. Also, we establish the direct approximation theor…

• FARUK ÖZGER