Chebyshev Splines and Kolmogorov Inequalities

Front Matter

Introduction

• Sergey K. Bagdasarov

Auxiliary Results

• Sergey K. Bagdasarov

Maximization of Functionals in H ^ω[a, b] and Perfect Ω-Splines

• Sergey K. Bagdasarov

Fredholm Kernels

• Sergey K. Bagdasarov

Review of Classical Chebyshev Polynomial Splines

• Sergey K. Bagdasarov

Additive Kolmogorov—Landau Inequalities

• Sergey K. Bagdasarov

Proof of the Main Result

• Sergey K. Bagdasarov

Properties of Chebyshev Ω-Splines

• Sergey K. Bagdasarov

Chebyshev Ω-Splines of the Half-line ℝ+

• Sergey K. Bagdasarov

Maximization of Integral Functionals in H ^ω[a ₁, a ₂], - ∞ ≤ a ₁ < a ₂ ≤ +∞

• Sergey K. Bagdasarov

Sharp Kolmogorov Inequalities in W ^r H ^α(ℝ)

• Sergey K. Bagdasarov

Landau and Hadamard Inequalities in W ¹ H ^ω(ℝ+) and W ¹ H ^ω(ℝ)

• Sergey K. Bagdasarov

Sharp Kolmogorov-Landau Inequalities in W ² H ^ω(I), I = ℝ ⋁ ℝ+

• Sergey K. Bagdasarov

Chebyshev Ω- Splines and N-Widths of W ^r H ^ω[0, 1]

• Sergey K. Bagdasarov

Function in W ^r H ^ω[-1, 1] Deviating Most from Polynomials \(\sum\limits_{i = 1}^r {a_i t^i }\)

• Sergey K. Bagdasarov

N-widths of the class W ¹ H ^ω[-1, 1]

• Sergey K. Bagdasarov

Lower Bounds for the N-Widths of the Class W ^r H ^ω[n]

• Sergey K. Bagdasarov

Back Matter