Results 11 to 20 of about 165,958,490 (290)
ON AN ESTIMATE FOR THE MODULUS OF CONTINUITY OF A NONLINEAR INVERSE PROBLEM [PDF]
Ural 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
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Modulus of continuity of the Dirichlet solutions [PDF]
Bulletin 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
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Functions with a concave modulus of continuity [PDF]
Proceedings of the American Mathematical Society, 1974 In [ 1 ], C. Goffman proved that, if σ \sigma
H. E. White
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Coefficients of multiple Fourier-Haar series and variational modulus of continuity [PDF]
Қарағанды 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
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SOME INEQUALITIES BETWEEN THE BEST SIMULTANEOUS APPROXIMATION AND MODULUS OF CONTINUITY IN THE WEIGHTED BERGMAN SPACE [PDF]
Ural 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
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A special modulus of continuity and the K -functional [PDF]
Acta Mathematica Scientia, 2016 We consider the questions connected with the approximation of a real continuous 1-periodic functions and give a new proof of the equivalence of the special Boman-Shapiro modulus of continuity with Peetre's K-functional. We also prove Jackson's inequality for the approximation by trigonometric polynomials.
exaly +3 more sources
Two sharp inequalities for operators in a Hilbert space
Researches 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
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On the nonsymmetric approximation of continuous functions in the integral metric
Researches 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
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Approximation on a class of Phillips operators generated by q-analogue
Journal of Inequalities and Applications, 2020 The main purpose of this article is to introduce a new generalization of q-Phillips operators generated by Dunkl exponential function. We establish some approximation results for these operators. We also determine the order of approximation, and the rate
Abdullah Alotaibi
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Journal of Inequalities and Applications, 2022 In this article, we consider a bivariate Chlodowsky type Szász–Durrmeyer operators on weighted spaces. We obtain the rate of approximation in connection with the partial and complete modulus of continuity and also for the elements of the Lipschitz type ...
Reşat Aslan, M. Mursaleen
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