AbstractLet A be a matrix of m rows and n columns whose entries are either zero or one with row i of sum ri (i = 1, 2,…, m) and column j of sum sj (j = 1, 2,…, n). Then a result of Khintchine states that Σi = 1m ri2 + Σj = 1n sj2 ⩽ σ(l + σl), where l = max(m, n) and σ is the total number of ones in A. In the present paper a new proof of Khintchine's inequality is presented and a number of extensions to bounded plane measurable sets are discussed
AbstractLet Pnk be the maximum value achieved by the permanent over Λnk, the set of (0,1)-matrices o...
AbstractZarankiewicz, in problem P 101, Colloq. Math., 2 (1951), p. 301, and others have posed the f...
AbstractLet A be an m × n(0, 1)-matrix having row sums ⩾ r and column sums ⩽ c. An upper bound for t...
Let A be a matrix of m rows and n columns whose entries are either zero or one with row i of sum ri ...
AbstractLet A be a matrix of m rows and n columns whose entries are either zero or one with row i of...
AbstractIf an n × n matrix has entries either zero or one, row sums ri and column sums sj, the ∑ri2 ...
AbstractWe prove: if (xij) is an m×n matrix with non-negative real entries, which are not all equal ...
AbstractWe derive a matrix inequality, which generalizes the Cauchy-Schwarz inequality for vectors, ...
AbstractIn this note we establish upper bounds for the 1-width of an m × n matrix of 0's and 1's hav...
AbstractWe study the 0–1 matrices whose squares are still 0–1 matrices and determine the maximal num...
AbstractThis paper discusses some Cauchy–Khinchin integral inequalities. Khinchin [2] obtained an in...
AbstractLet A be an n-square (0, 1)-matrix, let ri denote the i-th row sum of A, i=1, …, n, and let ...
AbstractLet A,B, and X be n×n complex matrices such that A and B are positive semidefinite. If p,q>1...
AbstractIn this paper, we present some new estimates on ∑i|λi|2, where λi is an eigenvalue of a matr...
AbstractLet Kn denote the set of all nonnegative n×n matrices whose entries have sum n, and let Jn=[...
AbstractLet Pnk be the maximum value achieved by the permanent over Λnk, the set of (0,1)-matrices o...
AbstractZarankiewicz, in problem P 101, Colloq. Math., 2 (1951), p. 301, and others have posed the f...
AbstractLet A be an m × n(0, 1)-matrix having row sums ⩾ r and column sums ⩽ c. An upper bound for t...
Let A be a matrix of m rows and n columns whose entries are either zero or one with row i of sum ri ...
AbstractLet A be a matrix of m rows and n columns whose entries are either zero or one with row i of...
AbstractIf an n × n matrix has entries either zero or one, row sums ri and column sums sj, the ∑ri2 ...
AbstractWe prove: if (xij) is an m×n matrix with non-negative real entries, which are not all equal ...
AbstractWe derive a matrix inequality, which generalizes the Cauchy-Schwarz inequality for vectors, ...
AbstractIn this note we establish upper bounds for the 1-width of an m × n matrix of 0's and 1's hav...
AbstractWe study the 0–1 matrices whose squares are still 0–1 matrices and determine the maximal num...
AbstractThis paper discusses some Cauchy–Khinchin integral inequalities. Khinchin [2] obtained an in...
AbstractLet A be an n-square (0, 1)-matrix, let ri denote the i-th row sum of A, i=1, …, n, and let ...
AbstractLet A,B, and X be n×n complex matrices such that A and B are positive semidefinite. If p,q>1...
AbstractIn this paper, we present some new estimates on ∑i|λi|2, where λi is an eigenvalue of a matr...
AbstractLet Kn denote the set of all nonnegative n×n matrices whose entries have sum n, and let Jn=[...
AbstractLet Pnk be the maximum value achieved by the permanent over Λnk, the set of (0,1)-matrices o...
AbstractZarankiewicz, in problem P 101, Colloq. Math., 2 (1951), p. 301, and others have posed the f...
AbstractLet A be an m × n(0, 1)-matrix having row sums ⩾ r and column sums ⩽ c. An upper bound for t...
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