Mehmet Gürdal

Certain summability methods in intuitionistic fuzzy normed spaces

In this paper, we introduce the notion of

On the extended eigenvalues and extended eigenvectors of shift operator on the Wiener algebra

\mathcal{I}

Generalized statistically convergent sequences of functions in fuzzy 2-normed spaces

-statistical convergence and

Generalized Statistical Convergence for Sequences of Function in Random 2-Normed Spaces

\mathcal{I}

Berezin symbols and Borel summability

-lacunary statistical convergence with respect to the intuitionistic fuzzy norm

Uniqueness Properties of The Solution of The Inverse Problem for The Sturm-Liouville Equation With Discontinuous Leading Coefficient

\left( \mu,v\right)

Basisity problem and weighted shift operators

, investigate their relationship, and make some observations about these classes.

On ℐ-Cauchy sequences in 2-normed spaces

Abstract In the present paper we consider the shift operator S on the Wiener algebra W ( D ) of analytic functions on the unit disc D of the complex plane C . A complex number λ is called an extended eigenvalue of S if there exists a nonzero operator A satisfying the equation A S = λ S A . We prove that the set of all extended eigenvalues of S is precisely the set D ¯ , and describe in terms of multiplication operators and composition operators the set of all corresponding extended eigenvectors of S .

Approximation theory in 2-Banach spaces

In this paper, we introduce a new type of convergence for a sequence of function, namely, λ-statistically convergent sequences of functions in fuzzy 2-normed space, which is a natural generalization of convergence in fuzzy 2-normed space. In particular, we introduce the concepts of uniform λ-statistical convergence and pointwise λ-statistical convergence in the topology induced by fuzzy 2-normed spaces, and give some basic properties of these concepts.

Extremal A-statistical limit points via ideals☆

In this paper, we introduce a new type of convergence for a sequence of function, namely, \(\lambda \)-statistically convergent sequences of functions in random 2-normed space, which is a natural generalization of convergence in random 2-normed space. In particular, following the line of recent work of Karakaya et al. [12], we introduce the concepts of uniform \(\lambda \)-statistical convergence and pointwise \(\lambda \)-statistical convergence in the topology induced by random 2-normed spaces. We define the \(\lambda \)-statistical analog of the Cauchy convergence criterion for pointwise and uniform \(\lambda \)-statistical convergence in a random 2-normed space and give some basic properties of these concepts. In addition, the preservation of continuity by pointwise and uniform \(\lambda \)-statistical convergence is proven.