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Generic well-posedness of minimization problems with mixed smooth constraints

Nonlinear Analysis: Theory, Methods & Applications, 2006
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Nonlinear wavelet approximation of periodic function classes with generalized mixed smoothnes

Analysis Mathematica, 2017
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Balgimbayeva, S., Smirnov, T.
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Constructive sparse trigonometric approximations for the functions with generalized mixed smoothness

Journal of Mathematical Sciences, 2017
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Modeling variability in treatment effects for cluster randomized controlled trials using by-variable smooth functions in a generalized additive mixed model

Behavior Research Methods, 2023
Variability in treatment effects is common in intervention studies using cluster randomized controlled trial (C-RCT) designs. Such variability is often examined in multilevel modeling (MLM) to understand how treatment effects (TRT) differ based on the level of a covariate (COV), called TRT × COV.
Sun-Joo, Cho   +5 more
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Estimates for certain approximation characteristics of Nikol’skii-Besov spaces with generalized mixed smoothness

Doklady Mathematics, 2009
The author presents (without proofs) sharp estimates for approximations by Fourier sums, for the best \(N\)-term trigonometric approximations, and for the trigonometric and Kolmogorov widths of the unit ball in the Nikolskii-Besov space \(MB^{s,\varepsilon}_{p\theta} (\mathbb T^d)\) of generalized mixed smoothness (\(s\in (0,\infty)^n ...
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On Embedding Theorems for Spaces with Mixed Generalized Smoothness

Lobachevskii Journal of Mathematics
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A new modified one-step smoothing Newton method for solving the general mixed complementarity problem

Applied Mathematics and Computation, 2010
The mixed complementarity problem to find a vector \(x \in X \subset \mathbb R^n\) such that \( F(x)^T (y-x) \geq0\), \(\forall y\in X\), where \(X=\prod^n_{i=1} [l_i, u_i]\), \(-\infty \leq l_i < u_i < + \infty\), \(i = 1,2, \dots, n\) is analyzed. Furthermore, if \(X=\mathbb R^n_+\), the above problem reduces to the nonlinear complementarity problem,
Liu, Sanyang, Tang, Jia, Ma, Changfeng
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On a function space with mixed generalized logarithmic smoothness

Mathematics and Theoretical Computer Science
We consider the anisotropic Lorentz space of 2π-periodic functions of m variables and the Nikol’skii–Besov space of functions with mixed generalized logarithmic smoothness. Embedding theorems are proved for spaces of functions with mixed generalized logarithmic smoothness.
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Generalized variational inclusion governed by generalized $����$-$H((., .), (., .))$-mixed accretive mapping in real $q$-uniformly smooth Banach spaces

2015
In this paper, we investigate a new notion of accretive mappings called generalized $ $-$H((.,.),(.,.))$-mixed accretive mappings in Banach spaces. We extend the concept of proximal-point mappings associated with generalized $m$-accretive mappings to the generalized $ $-$H((.,.),(.,.))$-mixed accretive mappings and prove that the proximal-point ...
Gupta, Sanjeev   +2 more
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Sensitivity analysis for a system of generalized nonlinear mixed quasi-variational inclusions in q-uniformly smooth Banach spaces

Applied Mathematics and Computation, 2008
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Jeong, Jae Ug, Kim, Soo Hwan
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