Results 11 to 20 of about 2,272,539 (336)
Universal Journal of Mathematics and Applications, 2023 In the study conducted here, we have given some new concepts in summability theory. In this sense, firstly, using the lacunary sequence we have given the concept of strongly $\mathcal{I}_{\theta_2}^{\ast}$-convergence and we have examined the relations ...
Esra Gülle +2 more
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A Link between Approximation Theory and Summability Methods via Four-Dimensional Infinite Matrices
Mathematics, 2021 In this study, we present a link between approximation theory and summability methods by constructing bivariate Bernstein-Kantorovich type operators on an extended domain with reparametrized knots.
Hari M. Srivastava +3 more
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Frames generated by double sequences in Hilbert spaces [PDF]
Mathematica Moravica, 2023 In this paper, we introduce frames generated by double sequences (d-frame) in Hilbert spaces and describe some of their properties. Furthermore, we discuss frame operators, alternate dual frames and stability for d-frames.
Biswas Narendra +2 more
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e-core of double sequences [PDF]
Acta Mathematica Hungarica, 2014 Boos, Leiger and Zeller [1,2] defined the concept of e-convergence. In this paper we introduce the concepts of e-limit superior and inferior for real double sequences and prove some fundamental properties of e-limit superior and inferior. In addition to these results we define e-core for double sequences. Also, we show that that if A is a nonnegative \(
Sever, Yurdal, Talo, Özer
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Cumhuriyet Science Journal, 2021 In the present paper, we introduce a new kind of convergence, called the statistical relative uniform convergence, for a double sequence of functions at a point, where the relative uniform convergence of the set of the neighborhoods of the given point is
Sevda Yıldız
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Sequence spaces M ( ϕ ) $M(\phi)$ and N ( ϕ ) $N(\phi)$ with application in clustering
Journal of Inequalities and Applications, 2017 Distance measures play a central role in evolving the clustering technique. Due to the rich mathematical background and natural implementation of l p $l_{p}$ distance measures, researchers were motivated to use them in almost every clustering process ...
Mohd Shoaib Khan +3 more
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$E_1$-degeneration and $d'd''$-lemma [PDF]
, 2015 For a double complex $(A, d', d'')$, we show that if it satisfies the $d'd''$-lemma and the spectral sequence $\{E^{p, q}_r\}$ induced by $A$ does not degenerate at $E_0$, then it degenerates at $E_1$.
Chen, Tai-Wei +2 more
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Matrix transformations of double convergent sequences with powers [PDF]
Proceedings of the Estonian Academy of SciencesIn 1967, I. J. Maddox generalized the spaces c0, c, ââ by adding the powers pk (k â â) in the definitions of the spaces to the terms of elements of sequences (xk). Gökhan and Ãolak in 2004â2006 defined the corresponding double sequence spaces
Maria Zeltser, Şeyda Sezgek
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F-seminorms on generalized double sequence spaces defined by modulus functions; pp. 121–132 [PDF]
Proceedings of the Estonian Academy of Sciences, 2014 Using a double sequence of modulus functions and a solid double scalar sequence space, we determine F-seminorm and F-norm topologies for certain generalized linear spaces of double sequences.
Enno Kolk, Annemai Raidjõe
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On the double transfer and the f-invariant [PDF]
, 2011 The purpose of this paper is to investigate an algebraic version of the double complex transfer, in particular the classes in the two-line of the Adams-Novikov spectral sequence which are the image of comodule primitives of the MU-homology of the product
Powell, Geoffrey
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