id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3663	Nigam, H. K.; Hadish, Md.	Approximation of a Function in Holder Class Using Double Karamata (Kλ,μ) Method	2020	12	.pdf	application/pdf	3727	239	90	(1) Under usual assumptions, double Fourier series of h(ζ,Θ) is given by h(ζ,Θ) ∼ ∞∑ ν=0 ∞∑ ρ=0 αν,ρ[aν,ρ cos νζ cos ρΘ+bν,ρ sin νζ cos ρΘ+cν,ρ cos νζ sin ρΘ+dν,ρ sin νζ sin ρΘ], (2) where αν,ρ =  1 4 for ν = ρ = 0 1 2 for ν > 0, ρ = 0 and ν = 0, ρ > 0 1 for ν > 0, ρ > 0. (3) and aν,ρ = 1 π2 ∫∫ S2 h(ζ,Θ) By (17) and (23), we obtain ‖Iν,ρ‖α,β = ‖sλ,µν,ρ (ζ,Θ)− h(ζ,Θ)‖α,β = O	cache/ejpam-3663.pdf	txt/ejpam-3663.txt