Results 11 to 20 of about 48 (30)
On convergence criteria for branched continued fraction [PDF]
, 2020 The starting point of the present paper is a result by E.A. Boltarovych (1989) on convergence regions, dealing with branched continued fraction \[\sum_{i_1=1}^N\frac{a_{i(1)}}{1}{\atop+}\sum_{i_2=1}^N\frac{a_{i(2)}}{1}{\atop+}\ldots{\atop+}\sum_{i_n=1}^N\
T.M. Antonova
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Elementary Evaluation of the Zeta and Related Functions
, 2010 A simple and elementary derivation of values at integer points for the Riemann's zeta and related functions is reported.Comment: ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Greece, 19-25 September ...
Bagdasaryan, Armen
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On ℐ-asymptotically lacunary statistical equivalent sequences [PDF]
, 2013 This paper presents the following definition, which is a natural combination of the definitions for asymptotically equivalent, I-statistically limit and I-lacunary statistical convergence. Let theta be a lacunary sequence; the two nonnegative sequences x
Ekrem Savaş
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Binomial transform and the backward difference
, 2017 We prove an important property of the binomial transform: it converts multiplication by the discrete variable into a certain difference operator. We also consider the case of dividing by the discrete variable.
Boyadzhiev, Khristo N.
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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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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 +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 +3 more
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