Results 11 to 20 of about 48 (30)

On the convergence of multidimensional S-fractions with independent variables [PDF]

, 2018
In this paper, we investigate the convergence of multidimensional S-fractions with independent variables, which are a multidimensional generalization of S-fractions.
O.S. Bodnar, R.I. Dmytryshyn
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Rough convergence of sequences in a partial metric space

, 2022
In this paper we have studied the notion of rough convergence of sequences in a partial metric space. We have also investigated how far several relevant results on boundedness, rough limit sets etc.
Banerjee, Amar Kumar, Khatun, Sukila
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On I-convergence of nets of functions in fuzzy metric spaces

Open Mathematics
In this paper, we introduce ideal versions of semi-α convergence, semi-exhaustiveness and semi uniform convergence of nets of functions between two fuzzy metric spaces, and obtain some properties of them.
Zhong Lingsheng, Xi Wenfei, Tang Zhongbao   +2 more
doaj   +1 more source

Rough convergence of sequences in Controlled Metric Type Spaces

, 2023
Mlaiki et al.\cite{MLA} introduced the idea of controlled metric type spaces, which is a new extension of $b$-metric spaces with addition of a controlled function $\alpha(x,y)$ of the right-hand side of the $b$-triangle inequality.
Banerjee, Amar Kumar, Khatun, Sukila
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Asymptotically lacunary I-invariant equivalence of sequences defined by A modulus function [PDF]

, 2018
In this paper, we introduce the concepts of strongly asymptotically lacunary ideal in- variant equivalence, f-asymptotically lacunary ideal invariant equivalence, strongly f-asymptotically lacunary ideal invariant equivalence and asymptotically ...
Dündar, Erdinç, Pancaroğlu Akın, Nimet, Ulusu, Uğur   +2 more
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ROUGH STATISTICAL CONVERGENCE OF SEQUENCES IN A PARTIAL METRIC SPACE [PDF]

In this paper, using the concept of natural density, we have introduced the notion of rough statistical convergence which is an extension of the notion of rough convergence in a partial metric space.
Banerjee, Amar Kumar, Khatun, Sukila
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The Square Root Problem and Subnormal Aluthge Transforms of Recursively Generated Weighted Shifts

, 2023
For recursively generated shifts, we provide definitive answers to two outstanding problems in the theory of unilateral weighted shifts: the Subnormality Problem ({\bf SP}) (related to the Aluthge transform) and the Square Root Problem ({\bf SRP}) (which
Azhar, Hamza El, Curto, Raul E., Omari, Youssef, Zerouali, El Hassan   +3 more
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Four-dimensional matrix transformation and the double Gibbs\u27 phenomenon [PDF]

, 2009
In 1976 Fridy presented a series of theorems that chacterize when matrices preserve the Gibbs\u27 phenomenon. In this paper we present a multidimensional extension of the results of Fridy. In particular, we prove necessary and sufficient conditions for a
Billy E. Rhoades, Richard F. Patterson
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$bar{lambda}$-double sequence spaces of fuzzy real numbers defined by Orlicz function [PDF]

, 2009
In this paper we define and study two concepts which arise from the notion of de la Vallée Poussin means, namely: strongly double $bar{lambda}$- convergence defined by Orlicz function and $bar{lambda}$-statistical convergence and establish a natural ...
Ekrem Savaş
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SOME GENERALIZED TRIPLE SEQUENCE SPACES DEFINED BY MODULUS FUNCTION [PDF]

, 2016
In this paper we have introduced some newly defined triple sequence spaces by combining the modulus function and non-negative six dimensional matrix of the form A=(........) and study some of their topological properties. We have also obtained and proved
Das, Bimal Chandra, Debnath, Shyamal
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