Continuity and Differentiability|Differentiation of Implicit functions 43:12 Differentiation of a constant function is zero i.e., d/(dx)(c)=0. 03:30 Differentiation Of Implicit Functions 04:15 Differentiation of
The functional contains the modulus of a complex function; it is not Gateaux differentiable in complex Hilbertian spaces. The problem is reformulated for appropriate real spaces in which the functional is Gateaux differentiable.Savenko P. O.
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Modulus of continuityModular formsLet \\(k\\in \\mathbb {N}^*\\) be even. We consider two trigonometric series \\( F_k(x)= \\sum _{n=1}^\\infty \\frac{\\sigma _{k-1}(n)}{n^{k+1}} \\sin (2\\pi n x)\\) and \\(G_k(x)= \\sum _{n=1}^\\infty \\frac{...
Modulus of continuityModular formsLet k is an element of N* be even. We consider two trigonometric series F-k(x) = Sigma(infinity)(n = 1) sigma(k-1)(n)/n(k+1) sin(2 pi nx) and G(k)(x) = Sigma(infinity)(n = 1) sigma(k-1)(n)/n(k+1) cos(2 pi nx), where sigma...
modulus of continuitynondifferentiabilityWe investigate the possibility of writing f = g 2 when f is a C k nonnegative function with k ≥ 6. We prove that, assuming that f vanishes at all its local minima, it is possible to get g ∈ C 2 and three times differentiable at every point,...
Modulus of continuityModular formsLet k is an element of N* be even. We consider two trigonometric series F-k(x) = Sigma(infinity)(n = 1) sigma(k-1)(n)/n(k+1) sin(2 pi nx) and G(k)(x) = Sigma(infinity)(n = 1) sigma(k-1)(n)/n(k+1) cos(2 pi nx), where sigma...
Relation Between Continuity and Differentiability | Differentiability of Compound Function | Problems based on Limits View Solution Questions based on Formation of Differential Equation View Solution Reasons OF Non Differentiability || Modulus based questions to check continuity & differentiabilty || Theorem...