Cover Image

Optimal $C^{1,1}$ and Quasi-Optimal $C^2$ Monotone Interpolation with Curvature Control

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Jiang, Fushuai, Luli, Garving K.
Format:	Preprint
Published:	2026
Subjects:	Classical Analysis and ODEs 41A29, 41A15, 41A44
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Optimal recovery of functions determined by second-order differential operators
by: Ling, Bo, et al.
Published: (2025)

Bounds for weighted Chebyshev and residual polynomials on subsets of $\mathbb{R}$
by: Christiansen, Jacob S., et al.
Published: (2025)

Shape preserving approximation of periodic functions -- Conclusion
by: Leviatan, D., et al.
Published: (2024)

Special measures of smoothness for approximation by sampling operators in $L_p(\Bbb{R}^d)$
by: Kolomoitsev, Yurii
Published: (2025)

Stability Analysis of Grünwald Interpolation Operators on Chebyshev Nodes
by: C, Vinaya P
Published: (2025)

On Asymptotic Properties of Certain $B$-Splines in Terms of Theta-like Functions
by: Ganzburg, Michael I.
Published: (2026)

Optimal polynomial meshes exist on any multivariate convex domain
by: Dai, Feng, et al.
Published: (2022)

Polynomial approximation on $C^2$-domains
by: Dai, Feng, et al.
Published: (2022)

Durrmeyer type operators linked with Boas-Buck type polynomials
by: Deo, Naokant, et al.
Published: (2025)

On some examples and counterexamples about weighted Lagrange interpolation with Exponential and Hermite weights
by: Szokol, Patricia
Published: (2025)

On a New Modification of Baskakov Operators with Higher Order of Approximation
by: Gadjev, Ivan, et al.
Published: (2024)

Higher Order Approximation of Functions by Modified Goodman-Sharma Operators
by: Gadjev, Ivan, et al.
Published: (2024)

Overiteration of $d$-variate tensor product Bernstein operators: a quantitative result
by: Acu, Ana-Maria, et al.
Published: (2024)

Higher Order Approximation of Continuous Functions by a Modified Meyer-König and Zeller-Type Operator
by: Gadjev, Ivan, et al.
Published: (2025)

Simultaneous approximation properties of a certain genuine hybrid type operator
by: Gairola, Asha Ram, et al.
Published: (2026)

A complete asymptotic expansion for the semi-exponential Post-Widder operators
by: Abel, Ulrich, et al.
Published: (2025)

Higher-order asymptotic expansions for Laplace's integral and their error estimates
by: Fukuda, Ikki, et al.
Published: (2025)

Exact $L_2$ Bernstein-Markov inequalities for generalized weights
by: Li, Jiansong, et al.
Published: (2024)

Reconstructing derivatives from values of functions belonging to Nikolskii-Besov classes of mixed smoothness in domains of a certain kind
by: Kudryavtsev, S. N.
Published: (2022)

Roots, trace, and extendability of flat nonnegative smooth functions
by: Jiang, Fushuai
Published: (2023)

Estimates for the approximation characteristics of the Nikol'skii-Besov classes of functions with mixed smoothness in the space $B_{q,1}$
by: Pozharska, K. V., et al.
Published: (2024)

Homeomorphism theorem for sums of translates on the real axis
by: Nikiforova, Tatiana M.
Published: (2025)

Error autocorrection in rational approximation and interval estimates
by: Litvinov, Grigori L.
Published: (2002)

Higher-order asymptotic expansion with error estimate for the multidimensional Laplace-type integral under perturbations
by: Fukuda, Ikki, et al.
Published: (2025)

$\mathbf{C^2}$-Lusin approximation of convex functions: one variable case
by: Goldstein, Paweł, et al.
Published: (2025)

Approximation of functions of many variables from the generalization Nikol'skii-Besov type classes in the uniform and integral metrics
by: Gromyak, M. I., et al.
Published: (2024)

Convergence analysis of Laguerre approximations for analytic functions
by: Wang, Haiyong
Published: (2023)

Best approximations for classes of periodic functions of many variables with bounded dominating mixed derivative
by: Pozharska, K. V., et al.
Published: (2024)

Uniform upper bounds and asymptotic expansions for certain index kernels
by: Yakubovich, Semyon
Published: (2024)

Direct and inverse theorems on the approximation of almost periodic functions in Besicovitch-Stepanets spaces
by: Serdyuk, Anatolii, et al.
Published: (2021)

A survey on sampling recovery
by: Dai, F., et al.
Published: (2026)

Approximation via partial Hausdorff integrals on $H^1(\mathbb{R})$
by: Yu, Zifei, et al.
Published: (2025)

On the rates of pointwise convergence for Bernstein polynomials
by: Adell, José A., et al.
Published: (2024)

Widom factors in $\mathbb C^n$
by: Alpan, Gökalp, et al.
Published: (2025)

Lower Bounds for Weighted Chebyshev and Orthogonal Polynomials
by: Alpan, Gökalp, et al.
Published: (2024)

Korovkin-type approximation for non-positive operators
by: Kumar, V. B. Kiran, et al.
Published: (2024)

Strong Converse Inequalities for Bernstein Polynomials with Explicit Asymptotic Constants
by: Adell, José A., et al.
Published: (2024)

Lerch $Φ$ asymptotics
by: Daalhuis, Adri B. Olde
Published: (2023)

Extension of the Best Polynomial Operator in Generalized Orlicz spaces
by: Acinas, Sonia, et al.
Published: (2024)

On reverse Markov-Nikol'skii inequalities for polynomials with restricted zeros
by: Komarov, Mikhail A.
Published: (2024)