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APPROXIMATION OF MONOTONE FUNCTIONS BY MONOTONE POLYNOMIALS
Russian Academy of Sciences. Sbornik Mathematics, 1993The 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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Set-Valued and Variational Analysis, 2020
The pointwise partial ordering of representative functions for a monotone operator is investigated. Specifically, the bigger conjugate representative functions that represent a fixed initial (non-maximal) monotone operator are studied. First, a new representative function is constructed from a given member of this class when wanting to add an ...
A. Eberhard, R. Wenczel
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The pointwise partial ordering of representative functions for a monotone operator is investigated. Specifically, the bigger conjugate representative functions that represent a fixed initial (non-maximal) monotone operator are studied. First, a new representative function is constructed from a given member of this class when wanting to add an ...
A. Eberhard, R. Wenczel
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, 1998 This paper compares different integrals of scalar functions \(f\) with respect to a strongly bounded, finitely additive, Banach space valued measure \(m\) on a \(\sigma\) algebra of sets. The version of the \(m\)-integral used here takes \(\int_{(\cdot)}f dm\) to be the setwise limit of \(\int_{(\cdot)}f_n dm\) whenever the limit exists for some ...
SAMBUCINI, Anna Rita +2 more
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Games and Economic Behavior, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some Absolutely Monotonic and Completely Monotonic Functions
SIAM Journal on Mathematical Analysis, 1974The 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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Monotonicity and convexity involving generalized elliptic integral of the first kind
RACSAM, 2021Tie-hong Zhao, Miao-Kun Wang, Y. Chu
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, 2016
We consider a nonlocal equation set in an unbounded domain with the epigraph property. We prove symmetry, monotonicity and rigidity results. In particular, we deal with halfspaces, coercive epigraphs and epigraphs that are flat at infinity. These results
S. Dipierro, Nicola Soave, E. Valdinoci
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We consider a nonlocal equation set in an unbounded domain with the epigraph property. We prove symmetry, monotonicity and rigidity results. In particular, we deal with halfspaces, coercive epigraphs and epigraphs that are flat at infinity. These results
S. Dipierro, Nicola Soave, E. Valdinoci
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Moduli of Monotonicity with Applications to Monotone Polynomial Approximation
SIAM Journal on Mathematical Analysis, 1976This article introduces new concepts called the moduli of monotonicity of a real function defined on an interval. They are a one-sided analogue of the well-known modulus of continuity, and are a measure of the extent by which a given function fails to be monotone.
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