LOWER BOUNDS OF COPSON TYPE FOR THE RANSPOSE OF MATRICES ON WEIGHTED EQUENCE SPACES

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LASHKARIPOUR R.; TALEBI G.

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ISSN: 2588-4824

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Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2011 | Volume:37 | Issue:1 Page(s): 115-126

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Title

LOWER BOUNDS OF COPSON TYPE FOR THE RANSPOSE OF MATRICES ON WEIGHTED EQUENCE SPACES

Author(s)

LASHKARIPOUR R. | TALEBI G. | Issue Writer Certificate

Keywords

LOWER BOUND

UPPER BOUND

LOWER TRIANGULAR MATRIX

SUMMABILITY MATRIX

NORLUND MATRIX

Abstract

Let A= (a n,k)n, k³0 be a non-negative matrix. Denote by L w, p, q (A), the supremum of those L, satisfying the following inequality: (Sn=0¥ wn (S n=0¥ an,k xk)q)1/q ³ L ( S n=0¥ wk xkp)1/pwhere, x ³ 0 and xÎlp (w) and also w= (wn) is a decreasing, nonnegative sequence of real numbers. If p=q, then we use L w,p (A) inested of L w,p,p (A). Here, we focus on the evaluation of L w,p (At) for a LOWER TRIANGULAR MATRIX A, where, 0<p<1. In particular, we apply our results to summability matrices, weighted mean matrices, Norlund matrices.

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APA: Copy

LASHKARIPOUR, R., & TALEBI, G.. (2011). LOWER BOUNDS OF COPSON TYPE FOR THE RANSPOSE OF MATRICES ON WEIGHTED EQUENCE SPACES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(1), 115-126. SID. https://sid.ir/paper/628049/en

Vancouver: Copy

LASHKARIPOUR R., TALEBI G.. LOWER BOUNDS OF COPSON TYPE FOR THE RANSPOSE OF MATRICES ON WEIGHTED EQUENCE SPACES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(1):115-126. Available from: https://sid.ir/paper/628049/en

IEEE: Copy

R. LASHKARIPOUR, and G. TALEBI, “LOWER BOUNDS OF COPSON TYPE FOR THE RANSPOSE OF MATRICES ON WEIGHTED EQUENCE SPACES,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 1, pp. 115–126, 2011, [Online]. Available: https://sid.ir/paper/628049/en

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