Results 291 to 300 of about 312,373 (317)

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
openaire   +2 more sources

On Functions That are Monotone on No Interval

The American Mathematical Monthly, 1981
(1981). On Functions that are Monotone on No Interval. The American Mathematical Monthly: Vol. 88, No. 10, pp. 754-755.
openaire   +1 more source

Monotone Majorizable Functionals

Studia Logica, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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
openaire   +2 more sources

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.
openaire   +2 more sources

Inequalities for Functions with Higher Monotonicities

Acta Mathematica Hungarica, 2001
Inequalities of the type \[ \|f^{(m)}\|_{L^p[c,d]}\leq \mathcal C \|f\|_{L^p[a,b]} \] (where \(m\) is a nonnegative integer, \(a\leq ...
Mastroianni, G., Raşa, I.
openaire   +1 more source

A monotonicity property of bessel functions

Mathematical Methods in the Applied Sciences, 1980
AbstractSome monotonicity results are given for the remainder terms in the asymptotic expansion for x → ∞ of the function Jv(x)Jv+n(x) + Yv(x Yv+n(x), v ε R, n ε Z.
R. Richberg, R. Leis
openaire   +1 more source

Stochastic Monotonicity and Monotonicity of the Value Functions

2016
We consider MDPs and CMs with structured state space and arbitrary transition law. We assume that the minimal assumption (MA1) holds. As in Chap. 6 we are looking for conditions under which the value functions are monotone in the initial state s. This is easy for CMs, but requires a thorough treatment of the notion of stochastic monotonicity for MDPs ...
Karl Hinderer, Ulrich Rieder, Michael Stieglitz   +2 more
openaire   +1 more source

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.
openaire   +1 more source

Monotone Classification by Function Decomposition

2005
The paper focuses on the problem of classification by function decomposition within the frame of monotone classification. We propose a decomposition method for discrete functions which can be applied to monotone problems in order to generate a monotone classifier based on the extracted concept hierarchy.
Popova, V., Bioch, J.C.
openaire   +3 more sources