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Basics of Approximation Theory (Best Approximation-Existence and uniqueness) by Dr Asif Khan
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Basics of Approximation Theory-Invited Talk by Dr Asif Khan in
AICTE-ISTE SPONSORED ONE WEEK VIRTUAL REFRESHER PROGRAMME ON APPLIED MATHEMATICS (20.05.2021) at DEPARTMENT OF MATHEMATICS, M.KUMARASAMY COLLEGE OF ENGINEERING, KARUR, Karnataka.
Approximation Theory: Definition, some examples of Approximation (Ole Christensen), Theoretical and Constructive, Best approximation (Existence and Uniqueness) examples 13:40, A geometric view of best approximations 26:21, open balls in R^2 wrt 1-,2-, infinity norms 31:00, translation-dialation, compression of balls in normed spaces 33:00, Strictly convex spaces, Open balls in $C[0, 1]$ w.r.t $\infty$ norm, C[a, b] is not strictly convex 38:00, more examples of best approximation w.r.t. other norms on R^2 44:15, Can one do Approximation in Topological Spaces? 47:30, The Weierstrass Approximation Theorem 49:00, approximation by algebraic polynomials 50:00, Relation between measure of error under $1-, 2-,~ \infty$ norm in $C[a, b]$ 55:00, Constructive proof of Weirstrass Approximation theorem by Bernstein based on probabilistic approach 57:07, Probabilistic interpretation of Bernstein's result, The law of large numbers and the uniform continuity, Markov inequality, Korovkin Approximation Theorem (Positive linear operators), Quantum and post quantum analogues of Bernstein operators, Applications of Bernstein type Basis in CAGD, operators in Image Processing (Pseudo-Linear Approximation), Statistical convergence.
@Maths with Asif Khan
@TheJannat Academy
AICTE-ISTE SPONSORED ONE WEEK VIRTUAL REFRESHER PROGRAMME ON APPLIED MATHEMATICS (20.05.2021) at DEPARTMENT OF MATHEMATICS, M.KUMARASAMY COLLEGE OF ENGINEERING, KARUR, Karnataka.
Approximation Theory: Definition, some examples of Approximation (Ole Christensen), Theoretical and Constructive, Best approximation (Existence and Uniqueness) examples 13:40, A geometric view of best approximations 26:21, open balls in R^2 wrt 1-,2-, infinity norms 31:00, translation-dialation, compression of balls in normed spaces 33:00, Strictly convex spaces, Open balls in $C[0, 1]$ w.r.t $\infty$ norm, C[a, b] is not strictly convex 38:00, more examples of best approximation w.r.t. other norms on R^2 44:15, Can one do Approximation in Topological Spaces? 47:30, The Weierstrass Approximation Theorem 49:00, approximation by algebraic polynomials 50:00, Relation between measure of error under $1-, 2-,~ \infty$ norm in $C[a, b]$ 55:00, Constructive proof of Weirstrass Approximation theorem by Bernstein based on probabilistic approach 57:07, Probabilistic interpretation of Bernstein's result, The law of large numbers and the uniform continuity, Markov inequality, Korovkin Approximation Theorem (Positive linear operators), Quantum and post quantum analogues of Bernstein operators, Applications of Bernstein type Basis in CAGD, operators in Image Processing (Pseudo-Linear Approximation), Statistical convergence.
@Maths with Asif Khan
@TheJannat Academy
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