Results 11 to 20 of about 173,303,186 (294)
ON AN ESTIMATE FOR THE MODULUS OF CONTINUITY OF A NONLINEAR INVERSE PROBLEM [PDF]
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]
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]
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]
In [ 1 ], C. Goffman proved that, if σ \sigma
H. E. White
openaire +3 more sources
Uniform modulus of continuity of random fields [PDF]
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]
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]
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
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
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
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

