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In this paper we establish various characterizations of the global minimum of the map Fà : U ! IR+ defined by FÃ(X) = kÃ(X)kp, (1 < p < 1) where à : U ! Cp is a map defin...
Let be a fixed number and be a nonnegative submartingale bounded from above by . Assume is a process satisfying, with probability , We provide a sharp bound for the first moment of the proc...
Lower Bounds for the Spectral Norm.
In this paper, in connection with a basic formula by S. Smale and D. X. Zhou which is fundamental in the approximation error estimates in statistical learning theory, we give new norm type inequalitie...
Operator norm inequalities of Minkowski type are presented for unitarily invariant norm. Some of these inequalities generalize an earlier work of Hiai and Zhan.
Some norm inequalities for sequences of linear operators defined on Hilbert spaces that are related to the classical Schwarz inequality are given. Applications for vector inequalities are also provide...
A norm inequality is proved for elements of a star algebra so that the algebra is noncommutative. In particular, a relation between maximal and minimal extensions of regular norm on C* - algebra is es...
On the $L^1$ Norm of the Weighted Maximal Function of Fejér Kernels with Respect to the Walsh-Kaczmarz System.
In this paper, we establish a weighted mixed norm integral inequality of Hardy's type. This inequality features a free constant term and extends earlier results on weighted norm Hardy-type inequalitie...
The concept of hypo-Euclidean norm for an n-tuple of vectors in inner product spaces is introduced. Its fundamental properties are established. Upper bounds via the Boas-Bellman [1]-[3] and Bombieri [...
Strongly nonlinear elliptic equations, Generalization of a Result for Cosine Series on the $L^1$ Norm.

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