id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ijassa-1055	Laneev, Eugeniy; Chernikova, Natalia; Baaj, Obaida	Application of the Minimum Principle of a Tikhonov Smoothing Functional in the Problem of Processing Thermographic Data	2021	11	.pdf	application/pdf	4705	231	69	(3.27) From the equation (3.27) taking into account the decomposition (3.21) for zM = a we obtain the following relations between the Fourier coefficients of the unique solution vH of this integral equation and the Fourier coefficients of its right-hand side: − (ṽH)nm exp { − knm(H − a) } = Φ̃nm(a), (3.28) where the Φ̃nm(a) are the Fourier coefficients of the function Φ(M)|M∈Π(a), Φ̃nm(a) (3.25) The series (3.23) uniformly converges in the domain D(−∞, H − ε) for any ε > 0, because∣∣(ṽH)nm exp { knm(z −H) } sin πnx lx sin πmy ly ∣∣ 6 ∣∣(ṽH)nm ∣∣ exp { − εknm } .	cache/ijassa-1055.pdf	txt/ijassa-1055.txt