Topics

The highlighted topics (but not limited to):

  • Approximation Theory: Classical approximation, statistical approximation, fuzzy approximation, approximation in the complex plane, best approximation, linear and nonlinear approximation, multivariate approximation, neural networks, numerical approximation, rational approximation, splines, interpolation, ... and their applications.
  • Summability Theory: Statistical convergence, regular summability methods, power series methods, sequence spaces, divergent series, Tauberian theorems, summation processes, matrix and integral methods for summability, ... and their applications.
  • Applied Mathematics: ODEs, PDEs, difference equations, mathematical modeling, dynamical systems, numerical analysis, oscillation, stability theory, control theory, financial mathematics, opitimization, probability and statistics, stochastic process, graph theory, ... and their applications.
  • Special Functions: Orthogonal polynomials, hypergeometric series, generating functions, general orthogonal systems, umbral calculus, recurrence relations, matrix-valued polynomials, Fourier series, special orthogonal functions, special polynomials, special functions in mathematical pyhsics,... and their applications.
  • Analysis and Functions Theory: Harmonic analysis, functional analysis, geometric function theory, fuzzy analysis, operator theory, spectral theory, fixed point theory, fractional calculus, q-analysis, number theory, combinatorics, cryptography and coding theory, inequalities, time scales, ... and their applications.