Transformed Linear Chebyshev Approximation. (Short Communication).
Transitivity of proximinality and norm attaining functionals
We study the question of when the set of norm attaining functionals on a Banach space is a linear space. We show that this property is preserved by factor reflexive proximinal subspaces in spaces and generally by taking quotients by proximinal subspaces. We show, for (ℓ₂) and c₀-direct sums of families of reflexive spaces, the transitivity of proximinality for factor reflexive subspaces. We also investigate the linear structure of the set of norm attaining functionals on hyperplanes of c₀ and...
Tres teoremas de aproximación en el espacio Lp mediante polinomios de coeficientes enteros.
Trianguläre Interpolation.
Trigonometric approximation by Nörlund type means in -norm
We show that the same degree of approximation as in the theorems proved by L. Leindler [Trigonometric approximation in -norm, J. Math. Anal. Appl. 302 (2005), 129–136] and P. Chandra [Trigonometric approximation of functions in -norm, J. Math. Anal. Appl. 275 (2002), 13–26] is valid for a more general class of lower triangular matrices. We also prove that these theorems are true under weakened assumptions.
Trigonometric approximation in the norms and seminorm
Trigonometric interpolation for bivariate functions of bounded variation
Trigonometric Polynomial Approximation in the L1-Form.
Trigonometrie Approximation with Exponential Error Orders. I. Construction of Asymptotically Optimal Processes; Generalized de la Vallée Poussin Sums.
Trivariate approximation operators on cube by parametric extensions.
Truncated gradient flows of the van der Waals free energy.
Truncation Error Analysis by Means of Approximant Systems and Inclusion Regions.
Truncation Error Bounds for Modified Continued Fractions with Applications to Special Functions.
Tubular NURB surfaces with boundary control.
Two dimensional divided differences with multiple knots.
Two inequalities of simpson type for quasi-convex functions and applications.
Two Korovkin-type theorems in multivariate approximation.
Two mappings related to semi-inner products and their applications in geometry of normed linear spaces
In this paper we introduce two mappings associated with the lower and upper semi-inner product and and with semi-inner products (in the sense of Lumer) which generate the norm of a real normed linear space, and study properties of monotonicity and boundedness of these mappings. We give a refinement of the Schwarz inequality, applications to the Birkhoff orthogonality, to smoothness of normed linear spaces as well as to the characterization of best approximants.
Two polynomial division inequalities in .
Two sharp inequalities of Simpson type and applications.