Online citations, reference lists, and bibliographies.

Convergence Methods For Double Sequences And Applications

M. Mursaleen, S. A. Mouhiuddine
Published 2013 · Mathematics

Cite This
Download PDF
Analyze on Scholarcy
Share
Chapter 1: Almost and statistical convergence of ordinary sequences: A preview.- Chapter 2: Almost convergence of double sequences.- Chapter 3: Almost regular matrices.- Chapter 4: Absolute almost convergence of double sequences.- Chapter 5: Almost convergence and core theorems.- Chapter 6: Application of almost convergence in approximation theorems for functions of two variables.- Chapter 7: Statistical convergence of double sequences.- Chapter 8: Statistical approximation of positive linear operators.- Chapter 9: Double series and convergence tests.- References.
This paper references
10.1017/S0305004100065312
Statistical convergence in a locally convex space
I. J. Maddox (1988)
10.1090/S0002-9939-1966-0201872-6
Almost summable sequences
J. King (1966)
10.1007/BF01448977
Zur Theorie der zweifach unendlichen Zahlenfolgen
Alfred Pringsheim (1900)
10.1524/anly.1993.13.12.77
Matrix Summability of Statistically Convergent Sequences
E. Kolk (1993)
10.1186/1029-242X-2012-225
Statistical summability through a lacunary sequence in locally solid Riesz spaces
Syed Abdul Mohiuddine (2012)
10.1155/S0161171283000459
Infinite matrices and absolute almost convergence
Mursaleen (1983)
10.1016/J.JMAA.2003.08.004
Statistical Convergence of Double Sequences
Mursaleen (2003)
10.1155/S0161171299227858
Double sequence core theorems
R. F. Patterson (1999)
10.1016/j.cam.2009.07.005
On lacunary statistical convergence with respect to the intuitionistic fuzzy normed space
M. Mursaleen (2009)
10.1016/j.camwa.2009.11.002
On the ideal convergence of double sequences in intuitionistic fuzzy normed spaces
Mohammad Mursaleen (2010)
10.1016/J.JMAA.2004.01.015
Almost convergence and a core theorem for double sequences
Mursaleen (2004)
10.4064/SM-110-1-83-96
Tauberian theorems for Cesàro summable double sequences
F. Móricz (1994)
Some Matrix Transformations on Sequence Spaces of Invariant Means
Mursaleen (2009)
10.1090/S0002-9947-1995-1260176-6
A measure theoretical subsequence characterization of statistical convergence
H. Miller (1995)
10.1016/0022-247X(69)90203-0
Banach limits, infinite matrices and sublinear functionals☆
S. Simons (1969)
ON STATISTICAL CONVERGENCE IN RANDOM 2-NORMED SPACES
M. Mursaleen (2010)
10.1093/qmath/34.1.77
ON SOME NEW INVARIANT MATRIX METHODS OF SUMMABILITY
Mursaleen (1983)
10.1016/J.JMAA.2004.01.014
Almost strongly regular matrices and a core theorem for double sequences
Mursaleen (2004)
10.1007/BF02393648
A contribution to the theory of divergent sequences
G. Lorentz (1948)
ON IDEAL CONVERGENCE OF DOUBLE SEQUENCES IN PROBABILISTIC NORMED SPACES
M. Mursaleen (2010)
10.1186/1029-242X-2012-172
Statistical summability (C,1) and a Korovkin type approximation theorem
S. A. Mohiuddine (2012)
10.1017/S0305004100054281
A new type of convergence
I. J. Maddox (1978)
10.1016/0021-9045(77)90058-2
Quantitative results on almost convergence of a sequence of positive linear operators
R. Mohapatra (1977)
10.3176/PROC.2009.2.03
On the Pringsheim convergence of double series
B. V. Limaye (2009)
10.2307/1968603
Absolute Regularity and the Norlund Mean
Florence M. Mears (1937)
10.1090/S0002-9939-1972-0306763-0
Infinite matrices and invariant means
P. Schaefer (1972)
10.1016/j.aml.2011.05.006
An application of almost convergence in approximation theorems
S. A. Mohiuddine (2011)
10.1155/S0161171279000454
Some analogues of Knopp’s core theorem
I. J. Maddox (1979)
10.1007/978-3-642-60637-3
Introduction to Operator Theory in Riesz Spaces
A. Zaanen (1997)
10.1017/S0305004100055766
On strong almost convergence
I. J. Maddox (1979)
10.1016/J.CHAOS.2008.09.018
STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES IN INTUITIONISTIC FUZZY NORMED SPACES
M. Mursaleen (2009)
10.1007/S11565-012-0157-5
Lacunary statistically convergent double sequences in probabilistic normed spaces
S. A. Mohiuddine (2012)
10.2307/2311025
Linear Operators and Approximation Theory.
G. Rota (1960)
10.1155/2012/719729
Statistical Convergence of Double Sequences in Locally Solid Riesz Spaces
Syed Abdul Mohiuddine (2012)
10.1556/SSCMATH.40.2003.1-2.18
Almost regular matrices for double sequences
Mursaleen (2003)
10.1007/S00013-003-0506-9
Statistical convergence of multiple sequences
F. Móricz (2003)
10.1007/BF01246399
Zur Theorie der Limitierungsverfahren
K. Knopp (1930)
10.1016/J.CHAOS.2006.05.046
Statistical convergence on intuitionistic fuzzy normed spaces
S. Karakus (2008)
10.1016/J.JMAA.2007.01.084
Matrix characterization of A-statistical convergence
M. Khan (2007)
Lacunary statistical convergence in random 2-normed spaces
S. A. Mohiuddine (2012)
10.2298/FIL1102109K
On (λ,µ)-statistical convergence of double sequences on intuitionistic fuzzy normed spaces
V. Kumar (2011)



This paper is referenced by
10.2298/FIL1607853M
Statistical approximation properties of Stancu type q-Baskakov-Kantorovich operators
Vishnu Narayan Mishra (2015)
10.1007/S40995-016-0018-7
Statistical e-Convergence of Double Sequences and its Application to Korovkin-Type Approximation Theorem for Functions of Two Variables
Yurdal Sever (2017)
10.1016/j.amc.2014.05.134
On generalized integral Bernstein operators based on q-integers
Vishnu Narayan Mishra (2014)
f(λ,μ)-statistical convergence of order α̃ for double sequences
Mahmut Işık (2017)
10.3906/MAT-1504-52
Some topological properties of the spaces of almost null andalmost convergent double sequences
Medine Yeşilkayagil (2016)
10.1186/s13660-017-1606-6
On almost B-summable double sequence spaces
Orhan Tuğ (2018)
10.1007/S40010-016-0276-Y
A Note on Riesz Summability of Double Series
Medine Yeşilkayagil (2016)
10.1186/S13660-019-2028-4
Lower bound of four-dimensional Hausdorff matrices
G. Talebi (2019)
10.7153/JCA-05-08
Trigonometric approximation of periodic Signals belonging to generalized weighted Lipschitz W'(L_r,ξ(t)),(r≥1) -- class by Nörlund-Euler (N,p_n) (E,q) operator of conjugate series of its Fourier series
V. Mishra (2014)
10.1016/j.amc.2014.03.085
On the trigonometric approximation of signals belonging to generalized weighted Lipschitz W(Lr, ξ(t))(r ⩾ 1)-class by matrix (C1 ⋅ Np) operator of conjugate series of its Fourier series
L. Mishra (2014)
10.1186/s13660-017-1541-6
A novel sequence space related to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal{L}_{p}$\end{document}Lp defi
Muhammad Adil Abbas Khan (2017)
10.1016/J.INDAG.2018.03.006
Domain of Riesz mean in some spaces of double sequences
M. Yeşilkayagil (2018)
10.1080/23311835.2017.1385374
A novel intuitionistic fuzzy similarity measure based on double sequence by using modulus function with application in pattern recognition
Muhammad Adil Abbas Khan (2017)
10.1007/978-3-319-45474-0_12
Mean Square Stability of Discrete-Time Fractional Order Systems With Multiplicative Noise
Viorica Mariela Ungureanu (2017)
10.1007/S11117-018-0620-3
On the difference spaces of almost convergent and strongly almost convergent double sequences
Hüsamettin Çapan (2019)
10.1007/S10114-015-4725-3
On the complexity of expansive measures
C. A. Morales (2015)
10.1080/23311835.2016.1250854
Approximation of functions belonging to L[0, ∞) by product summability means of its Fourier-Laguerre series
Kejal Khatri (2016)
10.1186/s13660-017-1333-z
Sequence spaces \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$M(\phi)$\end{document}M(ϕ) and \documentclass[12pt]{min
Muhammad Adil Abbas Khan (2017)
10.22190/FUMI1704527R
APPLICATIONS OF INFINITE MATRICES IN NON-NEWTONIAN CALCULUS FOR PARANORMED SPACES AND THEIR TOEPLITZ DUALS
K. Raj (2017)
10.1186/S13660-017-1333-Z
Sequence spaces M(ϕ)$M(\phi)$ and N(ϕ)$N(\phi)$ with application in clustering
Mohd Shoaib Khan (2017)
10.1007/S13370-018-0646-5
Applications of non-Newtonian calculus for classical spaces and Orlicz functions
Kuldip Raj (2019)
ON STRONGLY DEFERRED CESÀRO MEAN OF DOUBLE SEQUENCES
Ş. Sezgek (2017)
Some Approximation Properties of Baskakov-Sz´ asz-
Vishnu Narayan Mishra (2015)
Error Bounds of Conjugate of a Periodic Signal by Almost Generalized N\"orlund Means
Vishnu Narayan Mishra (2015)
10.1016/J.CHAOS.2017.02.008
Extending the deterministic Riemann–Liouville and Caputo operators to the random framework: A mean square approach with applications to solve random fractional differential equations
Clara Burgos (2017)
Some Approximation Properties of Baskakov-Sz ász- Stancu Operators
Vishnu Narayan Mishra (2015)
10.1155/2014/260326
Double Sequence Spaces by Means of Orlicz Functions
Abdullah Alotaibi (2014)
10.1186/S13660-016-1101-5
Approximation of signals (functions) belonging to certain Lipschitz classes by almost Riesz means of its Fourier series
Deepmala (2016)
10.7153/jca-2019-14-05
Four dimensional logarithmic transformation into ℒ_u
Fatih Nuray (2019)
On the Generalized Difference Matrix Domain on Strongly Almost Convergent Double Sequence Spaces
Orhan Tuğ (2019)
10.1155/2014/837408
Degree of Approximation of Functions f ∈ Hω Class by the (Np E1) Means in the Hölder Metric
Vishnu Narayan Mishra (2014)
A Short Note on Approximation Properties of q-Baskakov-Szasz-Stancu Operators
Vishnu Narayan Mishra (2014)
See more
Semantic Scholar Logo Some data provided by SemanticScholar