Results 231 to 240 of about 153,624 (281)

Some Absolutely Monotonic and Completely Monotonic Functions

SIAM Journal on Mathematical Analysis, 1974
The functions $(1 - r)^{ - 2|\lambda |} (1 - 2xr + r^2 )^{ - \lambda } $ are shown to be absolutely monotonic, or equivalently, that their power series have nonnegative coefficients for $ - 1 \leqq x \leqq 1$. One consequence is a simple proof of Kogbetliantz’s theorem on positive Cesaro summability for ultraspherical series, [7].
Askey, Richard, Pollard, Harry
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Monotone Majorizable Functionals

Studia Logica, 1999
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Monotone Boolean functions

Russian Mathematical Surveys, 2003
Summary: Monotone Boolean functions are an important object in discrete mathematics and mathematical cybernetics. Topics related to these functions have been actively studied for several decades. Many results have been obtained, and many papers published.
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Singular Strictly Monotone Functions

Mathematical Notes, 2004
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Ryabinin, A. A., Bystritskij, V. D., Il'ichev, V. A.   +2 more
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Monotonicity properties of ‐functions

Mathematische Nachrichten, 2018
AbstractWe present some monotonicity results for a class of Dirichlet series generalizing previously known results. The fact that is in that class presents a first example of an arithmetic function for which the associated Dirichlet series is completely monotonic, but not logarithmically completely monotonic. Lastly, we use similar techniques to prove
Chaubey, Sneha, Koutsaki, K. Paolina, Zaharescu, Alexandru   +2 more
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APPROXIMATION OF MONOTONE FUNCTIONS BY MONOTONE POLYNOMIALS

Russian Academy of Sciences. Sbornik Mathematics, 1993
The direct theorem of Nikolskij-type for monotone polynomial approximation of smooth monotone functions is proved. That result is an extension of classic direct theorems in approximation without constraint of A. F. Timan, V. K. Dzyadyk, G. Freud, Yu. A. Brudnyi.
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Estimating monotone functions

Statistics & Probability Letters, 2002
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Low, Mark G., Kang, Yung-Gyung
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Completely monotonic functions

Integral Transforms and Special Functions, 2001
In this expository article we survey some properties of completely monotonic functions and give various examples, including some famous special functions. Such function are useful, for example, in probability theory. It is known, [1, p.450], for example, that a function w is the Laplace transform of an infinitely divisible probability distribution on ...
K.S. Miller, S.G. Samko
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Logarithmically Absolutely Monotone Trigonometric Functions

Journal of Mathematical Sciences, 2022
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Monotonic Properties of Analytic Functions

SIAM Journal on Mathematical Analysis, 1978
A theorem is proved which enables one to obtain monotonic properties of the real part, imaginary part, modules and phase of an arbitrary analytic function in the complex plane. The monotonic properties are established from the behavior of the analytic function and its derivative on the boundary of the domain in which the monotonic properties are ...
Rawlins, A. D., Morgan, J. D.
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