Results 11 to 20 of about 173,303,186 (294)

ON AN ESTIMATE FOR THE MODULUS OF CONTINUITY OF A NONLINEAR INVERSE PROBLEM [PDF]

open access: yesUral Mathematical Journal, 2015
A reverse time problem is considered for a semilinear parabolic equation. Two-sided estimates are obtained for the norms of values of a nonlinear operator in terms of the norms of values of the corresponding linear operator.
Elena V. Tabarintseva
doaj   +5 more sources

Coefficients of multiple Fourier-Haar series and variational modulus of continuity [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
In this paper, we introduce the concept of a variational modulus of continuity for functions of several variables, give an estimate for the sum of the coefficients of a multiple Fourier-Haar series in terms of the variational modulus of continuity, and ...
T.B. Akhazhanov   +3 more
doaj   +2 more sources

Modulus of continuity of the Dirichlet solutions [PDF]

open access: yesBulletin of the London Mathematical Society, 2010
Let D be a bounded domain in Rn with n >= 2. For a function f on ∂D we denote by HDf the Dirichlet solution of f over D. It is classical that if D is regular, then HD maps the family of continuous boundary functions to the family of harmonic functions in D continuous up to the boundary ∂D.
Aikawa, Hiroaki
openaire   +4 more sources

Functions with a concave modulus of continuity [PDF]

open access: yesProceedings of the American Mathematical Society, 1974
In [ 1 ], C. Goffman proved that, if σ \sigma
H. E. White
openaire   +3 more sources

Uniform modulus of continuity of random fields [PDF]

open access: yesMonatshefte Fur Mathematik, 2009
A sufficient condition for the uniform modulus of continuity of a random field $X = \{X(t), t \in \R^N\}$ is provided. The result is applicable to random fields with heavy-tailed distribution such as stable random fields.

exaly   +4 more sources

SOME INEQUALITIES BETWEEN THE BEST SIMULTANEOUS APPROXIMATION AND MODULUS OF CONTINUITY IN THE WEIGHTED BERGMAN SPACE [PDF]

open access: yesUral Mathematical Journal, 2023
Some inequalities between the best simultaneous approximation of functions and their intermediate derivatives, and the modulus of continuity in a weighted Bergman space are obtained. When the weight function is \(\gamma(\rho)=\rho^\alpha,\) \(\alpha>0\),
Muqim S. Saidusainov
doaj   +4 more sources

Properties of the modulus of continuity for monotonous convex functions and applications [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
For a monotone convex function f∈C[a,b] we prove that the modulus of continuity w(f;h) is concave on [a,b] as function of h. Applications to approximation theory are obtained.
Sorin Gheorghe Gal
doaj   +2 more sources

Approximation properties of some singular integral on the classes of functions defined by the modulus of continuity

open access: yesResearches in Mathematics
The paper investigates the asymptotic behavior of the exact upper bounds of deviations in the uniform metric of the Weierstrass integrals of functions belonging to the classes $W^rH_{\omega}$, generated by the modulus of continuity $\omega(t)$.
I.V. Kal'chuk, Yu.I. Kharkevych
doaj   +2 more sources

Two sharp inequalities for operators in a Hilbert space

open access: yesResearches in Mathematics, 2022
In this paper we obtained generalisations of the L. V. Taikov’s and N. Ainulloev’s sharp inequalities, which estimate a norm of function's first-order derivative (L. V. Taikov) and a norm of function's second-order derivative (N.
N.O. Kriachko
doaj   +1 more source

On the nonsymmetric approximation of continuous functions in the integral metric

open access: yesResearches in Mathematics, 2020
In the paper, an exact estimate of the best nonsymmetric approximation in the integral metric by the constants of continuous functions that belong to the classes $H^\omega[a,b]$ is proved.
V.F. Babenko, O.V. Polyakov
doaj   +1 more source

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