Results 11 to 20 of about 65 (64)
On pointwise and uniform statistical convergence of order α for sequences of functions [PDF]
, 2013 In this paper, we introduce the concepts of pointwise and uniform statistical convergence of order ? for sequences of real-valued functions. Furthermore, we give the concept of an ?-statistically Cauchy sequence for sequences of real-valued functions and
Çınar, Muhammed +2 more
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Matrix mappings and norms on the absolute Cesàro and weighted spaces
, 2020 In this paper, for α > -1 and k ≥ 1, we characterize the classes of all infinite matrices (|Cα|k, |Nup|), (|Cα|, |Nup|k), (|Nup|k, |Cα|) and (|Nup|k, |Cα|k), where the absolute spaces |Cα|k and |Nup|k are defined by Sarıgöl [22 - 24].
Güleç, Güllü Canan Hazar +2 more
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Topological duals of some paranormed sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 30, Page 1883-1897, 2003., 2003 Let P = (pk) be a bounded positive sequence and let A = (ank) be an infinite matrix with all ank ≥ 0. For normed spaces E and Ek, the matrix A generates the paranormed sequence spaces [A, P] ∞((Ek)), [A, P] 0((Ek)), and [A, P]((E)), which generalise almost all the well‐known sequence spaces such as c0, c, lp, l∞, and wp.
Nandita Rath
wiley +1 more source
Some sequence spaces and statistical convergence
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 303-306, 2002., 2002 We introduce the strongly (V, λ)‐convergent sequences and give the relation between strongly (V, λ)‐convergence and strongly (V, λ)‐convergence with respect to a modulus.
E. Savaş
wiley +1 more source
Rate preservation of double sequences under l‐l type transformation
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 10, Page 637-643, 2002., 2002 Following the concepts of divergent rate preservation for ordinary sequences, we present a notion of rates preservation of divergent double sequences under l‐l type transformations. Definitions for Pringsheim limit inferior and superior are also presented.
Richard F. Patterson
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Analogues of some Tauberian theorems for stretchings
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 2, Page 99-109, 2001., 2001 We investigate the effect of four‐dimensional matrix transformation on new classes of double sequences. Stretchings of a double sequence is defined, and this definition is used to present a four‐dimensional analogue of D. Dawson′s copy theorem for stretching of a double sequence. In addition, the multidimensional analogue of D. Dawson′s copy theorem is
Richard F. Patterson
wiley +1 more source
Vector‐valued sequence spaces generated by infinite matrices
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 9, Page 547-560, 2001., 2001 Let A = (ank) be an infinite matrix with all ank ≥ 0 and P a bounded, positive real sequence. For normed spaces E and Ek the matrix A generates paranormed sequence spaces such as [A,P]∞((Ek)), [A,P]0((Ek)), and [A, P](E) which generalize almost all the existing sequence spaces, such as l∞, c0, c, lp, wp, and several others.
Nandita Rath
wiley +1 more source
Quadratic Approximation of Generalized Tribonacci Sequences
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, we give quadratic approximation of generalized Tribonacci sequence {Vn}n≥0 defined by Vn = rVn−1 + sV n−2 + tV n−3 (n ≥ 3) and use this result to give the matrix form of the n-th power of a companion matrix of {Vn}n≥0. Then we re-prove the
Cerda-Morales Gamaliel
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 7, Page 399-406, 2001., 2001 We prove necessary and sufficient Tauberian conditions for sequences summable by weighted mean methods. The main results of this paper apply to all weighted mean methods and unify the results known in the literature for particular methods. Among others, the conditions in our theorems are easy consequences of the slowly decreasing condition for real ...
Ferenc Móricz, Ulrich Stadtmüller
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Matrix transformations of starshaped sequences
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 4, Page 189-200, 2001., 2001 We deal with matrix transformations preserving the starshape of sequences. The main result gives the necessary and sufficient conditions for a lower triangular matrix A to preserve the starshape of sequences. Also, we discuss the nature of the mappings of starshaped sequences by some classical matrices.
Chikkanna R. Selvaraj, Suguna Selvaraj
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