On convergence subsystems of orthonormal systems.

Bareladze, G.

Displaying similar documents to “On convergence subsystems of orthonormal systems.”

On the convergence and summability of series with respect to block-orthonormal systems.

Nadibaidze, G. (1995)

Georgian Mathematical Journal

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On the rearranged block-orthonormal systems.

Nadibaidze, G. (2000)

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Sign changes of error terms related to arithmetical functions

Paulo J. Almeida (2007)

Journal de Théorie des Nombres de Bordeaux

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Let $H (x) = \sum_{n \leq x} \frac{φ (n)}{n} - \frac{6}{π^{2}} x$ . Motivated by a conjecture of Erdös, Lau developed a new method and proved that $# {n \leq T : H (n) H (n + 1) < 0} ≫ T .$ We consider arithmetical functions $f (n) = \sum_{d ∣ n} \frac{b_{d}}{d}$ whose summation can be expressed as $\sum_{n \leq x} f (n) = α x + P (log (x)) + E (x)$ , where $P (x)$ is a polynomial, $E (x) = - \sum_{n \leq y (x)} \frac{b_{n}}{n} ψ (\frac{x}{n}) + o (1)$ and $ψ (x) = x - ⌊ x ⌋ - 1 / 2$ . We generalize Lau’s method and prove results about the number of sign changes for these error terms.

Functions of slow increase and integer sequences.

Jakimczuk, Rafael (2010)

Journal of Integer Sequences [electronic only]

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A constant in pluripotential theory

Zbigniew Błocki (1992)

Annales Polonici Mathematici

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We compute the constant sup $(1 / d e g P) (m a x_{S} l o g | P | - \int_{S} l o g | P | d σ)$ : P a polynomial in $ℂ^{n}$ , where S denotes the euclidean unit sphere in $ℂ^{n}$ and σ its unitary surface measure.

Alexander's capacity for intersections of ellipsoids in $ℂ^{N}$ .

Jȩdrzejowski, Mieczysław (2002)

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Some results on increments of the Wiener process.

Bahram, A. (2005)

Acta Mathematica Universitatis Comenianae. New Series

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A function related to the central limit theorem

Paul Bracken (1998)

Commentationes Mathematicae Universitatis Carolinae

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A number of properties of a function which originally appeared in a problem proposed by Ramanujan are presented. Several equivalent representations of the function are derived. These can be used to evaluate the function. A new derivation of an expansion in inverse powers of the argument of the function is obtained, as well as rational expressions for higher order coefficients.