Keywords: بهترین تقریب; Convex programming; Nonconvex constraints; Constraint qualifications; Best approximation; Necessary and sufficient optimality conditions;
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Keywords: بهترین تقریب; Stability analysis; Multilayer perceptrons; Opposite singularity; Hessian matrix; Best approximation;
Keywords: بهترین تقریب; primary; 46B20; secondary; 47L25; 46B28; 46C50; 46C15; Bounded linear operator; Birkhoff-James orthogonality; Semi inner product; Best approximation; Approximately orthogonality preserving operators;
Keywords: بهترین تقریب; 15A60; 15A03; 41A50; Low-rank matrix approximation; Best approximation; Uniform approximation;
Keywords: بهترین تقریب; Stiffness matrix; Best approximation; Simple springs; Force–deflection characteristics; Isotropic
Keywords: بهترین تقریب; Logarithmic derivatives of algebraic polynomials; Best approximation; Alternance; Markov-Bernstein type inequalities;
Keywords: بهترین تقریب; 41A20; 41A30; 41A50; 28A80Fractal operator; Fractal rational function; Fractal Müntz rational function; Copositive fractal approximant; Best approximation
Keywords: بهترین تقریب; Moduli of smoothness; Orthogonal expansion; Nikolski and Ul’yanov type inequality; Best approximation; Sharp Jackson inequality; Besov spaces
Best approximations and moduli of smoothness of functions and their derivatives in Lp, 0<p<1
Keywords: بهترین تقریب; 41A10; 41A15; 41A17; 41A25; 41A28; Spaces Lp; 0<p<1; Moduli of smoothness; Best approximation; Simultaneous approximation; Trigonometric and algebraic polynomials; Splines;
Boubaker polynomials collocation approach for solving systems of nonlinear Volterra-Fredholm integral equations
Keywords: بهترین تقریب; First Boubaker polynomials; Best approximation; Operational matrix; Systems of Volterra-Fredholm integral equations; Collocation methods;
n-widths of certain function classes defined by the modulus of continuity
Keywords: بهترین تقریب; Best approximation; Modulus of continuity; Differentiable periodic functions; Inequalities of Jackson-Stechkin; Widths;
New facts concerning the approximation of the inverse Langevin function
Keywords: بهترین تقریب; Inverse Langevin function; Best approximation; Padé approximation; Taylor expansion; FENE Model; Mathematica computer software;
Ritt operators and convergence in the method of alternating projections
Keywords: بهترین تقریب; 41A65 (47J25, 47A10, 47A12, 47A25)Iterative methods; Best approximation; Alternating projections; Rate of convergence; Ritt operators; Numerical range; Resolvent condition; Friedrichs angle; Unconditional convergence
Full length articleBernstein's Lethargy Theorem in Fréchet spaces
Keywords: بهترین تقریب; 41A25; 41A50; 41A65; Best approximation; Bernstein's Lethargy Theorem; Fréchet spaces;
The sharp jackson inequality for L2-approximation on the periodic cylinder
Keywords: بهترین تقریب; Jackson inequality; best approximation; modulus of continuity; weight function41A17; 41A44
Continued fractions arising from F1,2F1,2
Keywords: بهترین تقریب; Continued fraction; Best approximation; Convergents; Farey graph
Fixed points and best approximation in arcwise connected spaces
Keywords: بهترین تقریب; primary, 54H25Fixed points; Best approximation; Arcwise connected spaces
Operator version of the best approximation problem in Hilbert C⁎C⁎-modules
Keywords: بهترین تقریب; C⁎C⁎-algebra; Hilbert C⁎C⁎-module; Best approximation; Closed range operator
Affine transformational HDMR and linearised rational least squares approximation
Keywords: بهترین تقریب; Rational approximation; Best approximation; Least squares approximation; High dimensional model representation; Transformational high dimensional model representation;
Bayesian ARTMAP for regression
Keywords: بهترین تقریب; Bayesian ARTMAP; Universal approximation; Best approximation; Regression;
On the unbounded divergence in the best approximation on equidistant nodes
Keywords: بهترین تقریب; Best approximation; Equidistant nodes; Unbounded divergence; Superdense set;
Best approximation by diagonal compact operators
Keywords: بهترین تقریب; primary, 47A58, 47B10, 47B15; secondary, 47A55, 47C15, 47B07Minimal compact operator; Diagonal operators; Quotient operator norm; Best approximation
On trigonometric polynomials deviating least from zero on an interval
Keywords: بهترین تقریب; Best approximation; Extremal trigonometric polynomials
Strong approximations for weighted bootstrap of empirical and quantile processes with applications
Keywords: بهترین تقریب; General bootstrap; Brownian bridge; Best approximation; Empirical process; Quantile process; Kernel density estimator
Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials
Keywords: بهترین تقریب; 45G10; 65R20Two-dimensional Volterra integral equation; Legendre polynomials; Operational matrix; Best approximation; Polynomial interpolation
Exact values of Kolmogorov widths of classes of Poisson integrals
Keywords: بهترین تقریب; Kolmogorov widths; Poisson integrals; Best approximation; SK-splines;
Stechkin's problem for differential operators and functionals of first and second orders
Keywords: بهترین تقریب; Unbounded operator; Landau-Kolmogorov inequality; Sharp constants; Stechkin's problem; Extremal problems; Best approximation;
A gradient based iterative algorithm for solving model updating problems of gyroscopic systems
Keywords: بهترین تقریب; Inverse problem; Iterative algorithm; Quadratic eigenvalue problem; Gyroscopic systems; Model updating; Best approximation
A fast adaptive model reduction method based on Takenaka–Malmquist systems
Keywords: بهترین تقریب; Best approximation; Impulse response energy; Model order reduction; Rational approximation; Takenaka–Malmquist basis
Improved error analysis for adaptive wavelet algorithms
Keywords: بهترین تقریب; Error analysis; Adaptive algorithms; Elliptic operators; Best approximation; COARSE step;
Inequalities in Lp−1Lp−1 for the extended LpLp best approximation operator
Keywords: بهترین تقریب; Best approximation; Extension of the best approximation operator; Peano derivatives in LpLp; Maximal functions associated to the best approximation operator
A characterization of minimal Hermitian matrices
Keywords: بهترین تقریب; 15A12; 15B51; 15B57; 15A60; 58B25Minimal Hermitian matrix; Diagonal matrix; Quotient operator norm; Best approximation
Lagrange multiplier characterizations of robust best approximations under constraint data uncertainty
Keywords: بهترین تقریب; Robust optimization; Best approximation; Strong conical hull intersection property; Ellipsoidal uncertainty; Shape-preserving interpolation
Approximation of multivariate periodic functions on the L2 space with a Gaussian measure
Keywords: بهترین تقریب; Average width; Best approximation; Approximation by linear operators; Anisotropic space; Gaussian measure;
Banach operator pair and common fixed points for nonexpansive maps
Keywords: بهترین تقریب; 47H10; 41A65; 47H09Common fixed point; Banach operator pair; Nonexpansive map; Banach operator family; Best approximation
Best and coupled best approximation theorems in abstract convex metric spaces
Keywords: بهترین تقریب; Best approximation; Coupled best approximation; Abstract convex metric space; Hyperconvex metric space; Normed space; Coupled coincidence point; KKM property;
The inverse eigenvalue problem of generalized reflexive matrices and its approximation
Keywords: بهترین تقریب; Generalized reflexive matrix; Inverse eigenvalue problem; Best approximation
Some new results on approximation in fuzzy 2-normed spaces
Keywords: بهترین تقریب; t-norm; 2-norm; Fuzzy 2-normed space; Best approximation;
On a class of inverse quadratic eigenvalue problem
Keywords: بهترین تقریب; 65F18; 15A24; Quadratic eigenvalue problem; Inverse eigenvalue problem; Monic quadratic pencil; Partially prescribed spectral information; Best approximation;
Pointwise analog of the jackson approximation theorem
Keywords: بهترین تقریب; Approximation; Best approximation;
Extension of the operator of best polynomial approximation in Lp(Ω)
Keywords: بهترین تقریب; Best approximation; Generalized polynomials; Lp-norm; Extension of operators;
Asymptotic behavior of best approximations of classes of Poisson integrals of functions from HωHω
Keywords: بهترین تقریب; Poisson integral; Modulus of continuity; Best approximation; Linear approximation method; Kolmogorov–Nikol’skii problem; Kolmogorov width
L1L1-approximation to Laplace transforms of signed measures
Keywords: بهترین تقریب; Best approximation; Interpolation by entire functions; Exponential type; Extremal functions; Variation diminishing functions
Approximation capability of interpolation neural networks
Keywords: بهترین تقریب; Neural networks; Best approximation; Interpolation
An application of fixed point theorem to best approximation in locally convex space
Keywords: بهترین تقریب; Best approximation; Demiclosed mapping; Fixed point; Nonexpansive mapping; Locally convex space
Approximation related to quotient functionals
Keywords: بهترین تقریب; Best approximation; Polynomial approximation; Chebyshev sets; Convex optimization; Second order cone programming
Error estimates for two-dimensional cross approximation
Keywords: بهترین تقریب; Cross approximation; Tensor products; Bilinear forms; Error estimates; Best approximation
Best approximation of functions on the ball on the weighted Sobolev space equipped with a Gaussian measure
Keywords: بهترین تقریب; Best approximation; Average width; Weighted Sobolev space; Gaussian measure
Random strict convexity and random uniform convexity in random normed modules
Keywords: بهترین تقریب; 46H25; 46A22; 46A25; 46B20; 46E30Random normed module; Random strict convexity; Random uniform convexity; Random conjugate space; Best approximation
Optimal adaptive computations in the Jaffard algebra and localized frames
Keywords: بهترین تقریب; Adaptive scheme; Jaffard algebra; Frames in Banach spaces; Best approximation; Localization of frames; Sparse matrix