Results 231 to 240 of about 2,683,293 (266)

MEAN VALUE OF ANALYTIC OPERATOR FUNCTIONS

Acta Mathematica Scientia, 1995
Summary: It is proved that if \(A\) is a normal proper contraction on Hilbert space \({\mathcal H}\) and \(F(z)=U(z)+iV(z)\) is operator-valued analytic on the unit disc \(\Delta\) and ...
Yu, Xiaopei, Jian, Ming
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Mean Values of Multiplicative Functions with Weight

Mathematical Notes, 2001
Let \(f\) denote a complex-valued multiplicative arithmetic function. Various authors have established necessary and sufficient conditions under which the mean value \(M(f)\) of \(f\) exists and is non-zero. Two directions in which this study was pursued are particularly relevant to this paper. In [Acta Arith.
Timofeev, N. M., Tulyaganov, S. T.
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Generalized Mean-Value Theorem for an Analytic Function and an Algorithm for the Evaluation of the Function of Mean Values

Ukrainian Mathematical Journal, 2017
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The Second Mean Values of Entire Functions

Canadian Journal of Mathematics, 1966
Let f(z) be an entire function of the complex variable z = x + iy defined by the everywhere absolutely convergent Dirichlet series1.1Ifthen log m(x,f) is an increasing convex function of x (2), andis called the Ritt order of f(z).
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A THEOREM ON THE MEAN VALUE OF CHEBYSHEV FUNCTIONS

Russian Academy of Sciences. Izvestiya Mathematics, 1995
Let \(\psi(y,\chi) = \sum_{n\leq y} \Lambda(n) \chi(n)\), where \(\Lambda\) is von Mangoldt's function and \(\chi\) a Dirichlet character. The author obtains an estimate for the mean value \[ T(x,Q) = \sum_{q\leq Q} \bigl(q/ \varphi(q) \bigr) \sum_\chi \max_{y\leq x} \bigl|\psi(y,\chi) \bigr|, \] where the sum over \(\chi\) is restricted to primitive ...
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On the mean value theorem for semidifferentiable functions

Journal of Global Optimization, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CASTELLANI, MARCO, PAPPALARDO M.
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Asymptotics of mean values of multiplicative functions

Mathematical Notes of the Academy of Sciences of the USSR, 1985
A number of authors, notably \textit{E. Wirsing} [Math. Ann. 143, 75-102 (1961; Zbl 0104.042)] and \textit{B. V. Levin} and \textit{A. S. Fajnlejb} [Usp. Mat. Nauk 22, No.3 (135), 119-197 (1967; Zbl 0204.065)], have obtained asymptotic formulae as well as quantitative estimates for the means \((l/x)\sum_{n\leq x}f(n)\) of multiplicative functions f ...
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Mean values of multiplicative functions on arithmetic progressions

Mathematical Notes of the Academy of Sciences of the USSR, 1987
The author announces several estimates for mean values of multiplicative functions over arithmetic progressions with fixed moduli. The precise statements are too complicated to be reproduced here.
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The bilinear mean residual quantile function

Communications in Statistics - Theory and Methods, 2023
P G Sankaran, S M Sunoj
exaly  

On the Mean Values of an Entire Function

Mathematische Nachrichten, 1970
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