Smoothed least absolute deviation estimation methods.

Authors: He, Yanfei¹ (AUTHOR), Xuan, Wenhui¹ (AUTHOR), Shi, Jianhong¹ (AUTHOR), Yu, Ping¹ (AUTHOR) ypxye@sina.com

Source: Communications in Statistics: Theory & Methods. 2025, Vol. 54 Issue 15, p4965-4979. 15p.

Subject Terms: *DATA analysis, ABSOLUTE value, SMOOTHNESS of functions, HETEROSCEDASTICITY, SAMPLE size (Statistics)

A nonautonomous Cr$C^r$‐topological equivalence involving contractions and unbounded nonlinearities.

Authors: Castañeda, Álvaro¹ (AUTHOR) castaneda@uchile.cl, Torres, Fernanda¹ (AUTHOR)

Source: Mathematische Nachrichten. Nov2025, p1. 15p.

Subject Terms: *LINEAR equations, *SMOOTHNESS of functions, *PERTURBATION theory, *HOMEOMORPHISMS, *DIFFEOMORPHISMS

Sharp Unified Smoothness Theory for Cavalieri Estimation via Fourier Decay.

Authors: Soto, Francisco-Javier¹ (AUTHOR)

Source: Axioms (2075-1680). Nov2025, Vol. 14 Issue 11, p786. 12p.

Subject Terms: *STEREOLOGY, *SMOOTHNESS of functions, *MINIMUM variance estimation, *SAMPLING (Process), *STATISTICAL sampling

Global solvability and eventual smoothness in a degenerate migration-consumption system with logistic source.

Authors: Wang, Liangchen¹ (AUTHOR) wanglc@cqupt.edu.cn, Mu, Chunlai^2,3 (AUTHOR) clmu2005@163.com

Source: Calculus of Variations & Partial Differential Equations. Nov2025, Vol. 64 Issue 8, p1-36. 36p.

Subject Terms: *CLASSICAL solutions (Mathematics), *SMOOTHNESS of functions, *MATHEMATICAL analysis, *NEUMANN boundary conditions, *MATHEMATICAL models, *LOGISTIC functions (Mathematics)

On two consequences of CH established by Sierpiński. II.

Authors: Pol, R.¹ (AUTHOR) pol@mimuw.edu.pl, Zakrzewski, P.¹ (AUTHOR) piotrzak@mimuw.edu.pl

Source: Archive for Mathematical Logic. Nov2025, Vol. 64 Issue 7/8, p1149-1164. 16p.

Subject Terms: *CONTINUUM hypothesis, *SMOOTHNESS of functions, *REAL variables, *MATHEMATICAL continuum, *MATHEMATICIANS, *MATHEMATICAL sequences

On the Unique Solution of a Partial Integro-Differential Equation on C z w u ∞ and Related Problems.

Authors: Garayev, Mubariz¹ (AUTHOR)

Source: Mathematics (2227-7390). Oct2025, Vol. 13 Issue 20, p3274. 11p.

Subject Terms: *INTEGRO-differential equations, *SMOOTHNESS of functions, *CUBES, *SINGULAR integrals, *PROBLEM solving

New latent variable model with varying-coefficients.

Authors: Cheng, Hao¹ (AUTHOR) chenghao0524@yeah.net

Source: Communications in Statistics: Theory & Methods. 2025, Vol. 54 Issue 9, p2723-2740. 18p.

Subject Terms: *DATA analysis, STRUCTURAL equation modeling, SMOOTHNESS of functions, LATENT variables

SVR-based method for fixed effects interval-valued panel models.

Authors: Ji, Aibing¹ (AUTHOR), Cao, Yu¹ (AUTHOR), Zhang, Jinjin¹ (AUTHOR) zhangjinjin@stumail.hbu.edu.cn, Li, Qingqing¹ (AUTHOR)

Source: Communications in Statistics: Theory & Methods. 2025, Vol. 54 Issue 8, p2393-2411. 19p.

Subject Terms: *FORECASTING, PANEL analysis, SMOOTHNESS of functions, DATA mapping, FIXED effects model

Quadrature rules for splines of high smoothness on uniformly refined triangles.

Authors: Eddargani, Salah¹ (AUTHOR), Manni, Carla¹ (AUTHOR), Speleers, Hendrik¹ (AUTHOR)

Source: Mathematics of Computation. Jan2026, Vol. 95 Issue 357, p321-338. 18p.

Subject Terms: *SPLINES, *SMOOTHNESS of functions, *TRIANGLES, *NUMERICAL integration, *INTEGRALS

Smoothness of commutative Hopf algebras.

Authors: Egami, Kensuke¹ (AUTHOR), Masuoka, Akira² (AUTHOR) akira@math.tsukuba.ac.jp, Suzuki, Kenta³ (AUTHOR)

Source: Communications in Algebra. Sep2025, p1-28. 28p.

Subject Terms: *HOPF algebras, *SMOOTHNESS of functions, *MONOIDAL categories, *VECTOR spaces, *ALGEBRA, *MODULES (Algebra), *COMMUTATIVE algebra

Smoothness of the Solution of a Boundary Value Problem for Degenerate Elliptic Equations.

Authors: Beisebay, Perizat¹ (AUTHOR), Akzhigitov, Yerbulat² (AUTHOR), Akhazhanov, Talgat¹ (AUTHOR), Kenzhebekova, Gulmira^1,2 (AUTHOR), Matin, Dauren¹ (AUTHOR) d.matin@mail.kz

Source: Symmetry (20738994). Sep2025, Vol. 17 Issue 9, p1562. 10p.

Subject Terms: *ELLIPTIC equations, *SMOOTHNESS of functions, *EIGENVALUES, *BOUNDARY value problems, *NUMERICAL analysis, *LOCALIZATION theory, *SYMMETRY, *SOBOLEV spaces

Space‐Time Smoothness and Parsimony in Covariance Functions.

Authors: Faouzi, Tarik¹ (AUTHOR), Porcu, Emilio² (AUTHOR) emilio.porcu@ku.ac.ae, Bevilacqua, Moreno^3,4 (AUTHOR)

Source: Mathematical Methods in the Applied Sciences. Sep2025, Vol. 48 Issue 13, p13247-13259. 13p.

Subject Terms: *GAUSSIAN processes, *SMOOTHNESS of functions, *PARSIMONIOUS models, *ESTIMATION theory, *STATISTICAL accuracy, *STATISTICAL reliability, *ANALYSIS of covariance

On the completeness of the space OC.

Authors: Kunzinger, Michael¹ (AUTHOR) michael.kunzinger@univie.ac.at, Ortner, Norbert² (AUTHOR)

Source: Mathematische Nachrichten. Aug2025, Vol. 298 Issue 8, p2740-2748. 9p.

Subject Terms: *FUNCTIONAL analysis, *SMOOTHNESS of functions, *VECTOR topology, *TOPOLOGICAL property, *TOPOLOGICAL spaces, *MATHEMATICAL sequences

Three Solutions for a Double-Phase Variable-Exponent Kirchhoff Problem.

Authors: Avci, Mustafa¹ (AUTHOR)

Source: Mathematics (2227-7390). Aug2025, Vol. 13 Issue 15, p2462. 20p.

Subject Terms: *CRITICAL point theory, *SMOOTHNESS of functions, *DIFFUSION coefficients, *FUNCTIONALS, *PROBLEM solving

Robust Discontinuity Indicators for High-Order Reconstruction of Piecewise Smooth Functions.

Authors: Li, Yipeng¹ (AUTHOR), Chen, Qiao¹ (AUTHOR), Jiao, Xiangmin¹ (AUTHOR) xiangmin.jiao@stonybrook.edu

Source: Mathematics (2227-7390). Aug2025, Vol. 13 Issue 15, p2442. 28p.

Subject Terms: *SMOOTHNESS of functions, *COMPUTER simulation, *EDGE detection (Image processing)

Generic properties of Darboux-type curves.

Authors: Huang, Jie¹ (AUTHOR), Wei, Sining² (AUTHOR) weisn835@nenu.edu.cn

Source: Electronic Research Archive. 2025, Vol. 33 Issue 8, p1-14. 14p.

Subject Terms: *SMOOTHNESS of functions, *GEODESICS

Smooth UAV Path Planning Based on Composite-Energy-Minimizing Bézier Curves.

Authors: Cao, Huanxin¹ (AUTHOR), Du, Zhanhe^1,2 (AUTHOR), Hu, Gang^1,2 (AUTHOR), Xu, Yi^1,2 (AUTHOR), Zheng, Lanlan¹ (AUTHOR)

Source: Mathematics (2227-7390). Jul2025, Vol. 13 Issue 14, p2318. 20p.

Subject Terms: *ROBOTIC path planning, *SMOOTHNESS of functions, *OBSTACLE avoidance (Robotics), *CURVATURE, *AERONAUTICAL safety measures, *ENERGY consumption, *PARAMETRIC equations, *DRONE aircraft

Reconstruction of Piecewise Smooth Functions Based on Fourier Extension.

Authors: Li, Xusheng¹ (AUTHOR), Zhao, Zhenyu¹ (AUTHOR), Jia, Xianzheng¹ (AUTHOR)

Source: Axioms (2075-1680). Jul2025, Vol. 14 Issue 7, p489. 16p.

Subject Terms: *SMOOTHNESS of functions, *EDGE detection (Image processing), *SIGNAL frequency estimation, *MATHEMATICAL singularities, *FOURIER analysis, *STATISTICAL accuracy, *NUMERICAL analysis

Autocovariance function estimation via difference schemes for a semiparametric change point model with m‐dependent errors.

Authors: Levine, Michael¹ (AUTHOR), Tecuapetla‐Gómez, Inder^2,3 (AUTHOR) itecuapetla@conabio.gob.mx

Source: Australian & New Zealand Journal of Statistics. Jul2025, Vol. 67 Issue 2, p202-223. 22p.

Subject Terms: *OPEN source software, *SMOOTHNESS of functions, *TIME series analysis, *REGRESSION analysis, *SAMPLE size (Statistics)

Averaged Characteristics of Smoothness in L2 and Estimations for the Values of Widths of Function Classes.

Authors: Vakarchuk, Serhii¹ (AUTHOR) sbvakarchuk@gmail.com, Zabutna, Valentyna² (AUTHOR), Vakarchuk, Mykhailo² (AUTHOR) mihailvakarchuk@gmail.com

Source: Ukrainian Mathematical Journal. Jul2025, Vol. 77 Issue 2, p165-192. 28p.

Subject Terms: *SMOOTHNESS of functions, *PERIODIC functions, *FUNCTION spaces, *HILBERT space, *APPROXIMATION theory, *DIFFERENCE operators