• Journal of Integrative Natural Science
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• v.11 no.1
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• pp.51-56
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• 2018

For topological vector spaces X and Y, let $F_0(X,Y)=\{f{\in}Y^X:f(0)=0\}$. Then it is an extremely large family and the family of linear operators is a very small subfamily of $F_0(X,Y)$. In this paper, we establish the characterizations of $F_0(X,Y)$-matrix families (${l^{\infty}(X)$, ${l^{\infty}(Y)$), ($c_0(X)$, $l^{\infty}(Y)$) and ($c_0(X)$, $l^{\infty}(Y)$).

• Journal of applied mathematics & informatics
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• v.41 no.5
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• pp.1057-1069
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• 2023

In this paper, we have determined the degree of approximation of function belonging of Lipschitz class by using Deferred-Generalized Nörlund (D^𝛾_𝛽.N_pq) means of Fourier series and conjugate series of Fourier series, where {p_n} and {q_n} is a non-increasing sequence. So that results of DEGER and BAYINDIR [23] become special cases of our results.

• Honam Mathematical Journal
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• v.7 no.1
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• pp.129-133
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• 1985

The object of this note is to discuss the relationship between some matrix transformations that naturally occur involving prime numbers in the theory of Summability.

• Journal of the Korean Mathematical Society
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• v.41 no.4
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• pp.755-772
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• 2004

We show that the Fourier-Laplace series of a distribution on the sphere is uniformly Cesaro-summable to zero on a neighborhood of a point if and only if this point does not belong to the support of the distribution. Similar results on the ball and on the real projective space are also proved.

• The Pure and Applied Mathematics
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• v.15 no.4
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• pp.415-421
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• 2008

A clear-cut characterization of the matrix class $({\ell}^{\infty}(X),\;c_0(Y))$ is obtained for a very general case.

• Korean Journal of Mathematics
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• v.29 no.1
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• pp.169-177
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• 2021

The aim of the present study is to introduce the concepts of deferred statistical convergence, deferred statistical Cauchy sequence and deferred Cesàro summability in paranormed spaces. We investigate some properties of these concepts and some inclusion relations with examples.

• Communications of the Korean Mathematical Society
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• v.10 no.3
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• pp.707-714
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• 1995

In this note, we extend the concepts of linearly positive quadrant dependence to the random vectors and prove a functional central limit theorem for positively quadrant dependent sequence of $R^d$-valued or separable Hilbert space valued random elements which satisfy a covariance summability condition. This result is an extension of a functional central limit theorem for weakly associated random vectors of Burton et al. to positive quadrant dependence case.

• Bulletin of the Korean Mathematical Society
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• v.45 no.1
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• pp.169-190
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• 2008

Second-order parabolic equations with variable coefficients are considered on $\mathbb{R}^d$ and $C^1$ domains. Existence and uniqueness results are given in $L_q(L_p)$-spaces, where it is allowed for the powers of summability with respect to space and time variables to be different.

• Kyungpook Mathematical Journal
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• v.56 no.1
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• pp.57-68
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• 2016

In this work, we shall give the degree of approximation for functions belonging to $H{\ddot{o}}lder$ class by matrix summability method of multiple Fourier series in the $H{\ddot{o}}lder$ metric.

• Journal of applied mathematics & informatics
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• v.37 no.5_6
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• pp.459-467
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• 2019

In this work, via Orlicz functions, we have obtained a generalization of rough statistical convergence of asymptotically equivalent triple sequences a new non-matrix convergence method, which is intermediate between the ordinary convergence and the rough statistical convergence. We also have examined some inclusion relations related to this concept. We obtain the results are non negative real numbers with respect to the partial order on the set of real numbers.