Results 1 to 10 of about 1,176 (141)

On sharp inequality of Kolmogorov type for functions of low smoothness from the class $L_1^r(T)$

Researches in Mathematics, 2021
We obtain new sharp inequality of Kolmogorov type for differentiable periodic functions $x \in L_1^3$.
V.A. Kofanov, V.Ye. Miropolskii
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Sharp Kolmogorov-type inequalities for norms of fractional derivatives of multivariate functions [PDF]

Ukrainian Mathematical Journal, 2010
Let $$ C\left( {{\mathbb{R}^m}} \right) $$ be the space of bounded and continuous functions $$ x:{\mathbb{R}^m} \to \mathbb{R} $$ equipped with the norm
Babenko, V.F., Parfinovych, N.V., Pichugov, S.A.   +2 more
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Sharp inequalities of Kolmogorov type for non-periodic functions on the real domain

Researches in Mathematics, 2015
We obtained sharp inequalities of Kolmogorov type for non-periodic functions on the real domain. The obtained results were applied to solve some extremum problems for non-periodic functions and splines on the real domain.
T.R. Bіkkuzhyna, V.A. Kofanov
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Kolmogorov-type inequalities for functions with asymmetric restrictions on the highest derivative

Researches in Mathematics
For $k, r\in {\rm \bf N}$, $k0$; $\alpha, \beta>0$ and for functions $x\in L_{\infty}^r({\rm\bf R})$ inequalities that estimate the norm $\|x_{\pm }^{(k)}\|_{L_q[a,b]}$ on an arbitrary segment $[a,b] \subset {\rm\bf R}$ such that $\;x^{(k)}(a)=x^{(k)}(b)
V.A. Kofanov
doaj   +1 more source

Inequalities for $\Lambda$-derivatives of functions defined on a metric space and some of their applications

Researches in Mathematics
We introduce a concept of a $\Lambda$-derivative operator, which is a certain generalization of hypersingular integral operators, which in turn are used in the definitions of the Marchaud and the Riesz fractional derivatives.
V. Babenko, V. Kolesnyk, O. Kovalenko, N. Parfinovych   +3 more
doaj   +1 more source

Boyanov-Naydenov problem and Kolmogorov type inequalities for positive (negative) parts of functions

Researches in Mathematics
We prove that Boyanov-Naidenov problem $\|x^{(k)}_{\pm}\|_{q,\, \mu} \to \sup$ on classes of functions $\Omega^r_p(A_0, A_r):=\{x\in L^r_{\infty}: \|x^{(r)}\|_{\infty}\le A_r, L(x)_p\le A_0 \}$, where $k= 0,1,...,r-1$, $q \ge 1$ for $k\ge 1$, $q \ge p ...
V.A. Kofanov
doaj   +1 more source

Kolmogorov-Type Maximal Inequalities for Independent and Dependent Negative Binomial Random Variables: Sharp Bounds, Sub-Exponential Refinements, and Applications to Overdispersed Count Data

11 pages, 8 figures, 2 ...
Doumas, Aristides V., Spektor, S.
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Contextuality, Complementarity, Signaling, and Bell Tests. [PDF]

Entropy (Basel), 2022
Khrennikov A.
europepmc   +1 more source

The Cluster Structure Function. [PDF]

IEEE Trans Pattern Anal Mach Intell, 2023
Cohen AR, Vitanyi PMB.
europepmc   +1 more source

The effect of fast and slow decision-making on equity-efficiency tradeoffs and moral repugnance. [PDF]

R Soc Open Sci, 2023
Persson E, Tinghög G.
europepmc   +1 more source