Aida Kh. Asgarova, Vugar E. Ismailov, “On the representation by sums of algebras of continuous functions”, Comptes Rendus. Mathématique, 355, № 9, 2017, 949
Aida Kh. Asgarova, Arzu M-B. Babayev, Ibrahim K. Maharov, “On the error of approximation by ridge functions with two fixed directions”, Tbilisi Math. J., 10, № 2, 2017
Vugar E. Ismailov, “A note on the equioscillation theorem for best ridge function approximation”, Expositiones Mathematicae, 35, № 3, 2017, 343
Vugar E. Ismailov, “A note on the representation of continuous functions by linear superpositions”, Expositiones Mathematicae, 30, № 1, 2012, 96
Ting Fan Xie, Fei Long Cao, “The ridge function representation of polynomials and an application to neural networks”, Acta. Math. Sin.-English Ser., 27, № 11, 2011, 2169
Vugar E. Ismailov, Ekrem Savas, “Measure Theoretic Results for Approximation by Neural Networks with Limited Weights”, Numerical Functional Analysis and Optimization, 38, № 7, 2017, 819
Vugar E. Ismailov, “On the approximation by neural networks with bounded number of neurons in hidden layers”, Journal of Mathematical Analysis and Applications, 417, № 2, 2014, 963
S. V. Konyagin, A. A. Kuleshov, V. E. Maiorov, “Some Problems in the Theory of Ridge Functions”, Proc. Steklov Inst. Math., 301, № 1, 2018, 144
Vugar E. Ismailov, “A three layer neural network can represent any multivariate function”, Journal of Mathematical Analysis and Applications, 523, № 1, 2023, 127096
Vugar E. Ismailov, “Approximation by ridge functions and neural networks with a bounded number of neurons”, Applicable Analysis, 94, № 11, 2015, 2245