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Ekrem Savas

Publications and source records attributed to Ekrem Savas.

7 recordsLinked to original sources
arXiv2023

Measure theoretic results for approximation by neural networks with limited weights

In this paper, we study approximation properties of single hidden layer neural networks with weights varying on finitely many directions and thresholds from an open interval. We obtain a necessary and at the same time sufficient measure theoretic condition for density of such networks in the space of continuous functions. Further, we prove a density result for neural networks with a specifically constructed activation function and a fixed number of neurons.

cs.LG↗
arXiv2016

Note on $f_λ$-statistical convergence

In this article, we study about the $λ$-statistical convergence with respect to the density of moduli and find some results related to statistical convergence as well. Also we introduce the concept of $f_λ$-summable sequence and try to investigate some relation between the $f_λ$-summability and module $% λ$-statistical convergence.

math.FA↗
arXiv2015

On strongly almost lacunary statistical $A$-convergence defined by Musielak-Orlicz function

We study some new strongly almost lacunary statistical $A$-convergent sequence space of order $α$ defined by a Musielak-Orlicz function. We also give some inclusion relations between the newly introduced class of sequences with the spaces of strongly almost lacunary $A$-convergent sequence of order $α$. Moreover we have examined some results on Musielak-Orlicz function with respect to these spaces.

math.FA↗
arXiv2015

Some new lacunary $f$-statistical $A$-convergent sequence spaces of order $α$

We study the concept of density for sets of natural numbers in some lacunary $A$-convergent sequence spaces. Also we are trying to investigate some relation between the ordinary convergence and module statistical convergence for evey unbounded modulus function. Morever we also study some results on the newly defined lacunary $f$-statistically $A$-convergent sequence spaces with respect to some Musielak-Orlicz function.

math.FA↗
arXiv2015

Measures of noncompactness in some new lacunary difference sequence spaces

In this research article, we establish some identities and estimates for the operator norms and the Hausdorff measures of noncompactness of certain operators on some lacunary difference sequence spaces defined by Orlicz function. Moreover, we apply our results to characterize some classes of compact operators on those spaces by using the Hausdorff measure of noncompactness.

math.FA↗