id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
american_scientific_journal-4764	Mukherjee, Sanjay; J Khan, A	Approximation Theory on Summability of Fourier Series	2019	6	.pdf	application/pdf	1566	68	74	And 𝐿𝐿𝑛𝑛−𝑟𝑟 = 𝑜𝑜(|𝑅𝑅𝑛𝑛|), as 𝑛𝑛 → ∞ for every fixed 𝑘𝑘 ≥ 0, for which 𝑞𝑞𝑟𝑟 ≠ 0 𝐸𝐸𝑛𝑛1 = 1 2𝑛𝑛 ∑ �𝑛𝑛𝑟𝑟� 𝑛𝑛 𝑟𝑟=0 𝑎𝑎𝑟𝑟 (1.6) (2019) Volume 54, No 1, pp 131-136 134 𝑎𝑎𝑛𝑛(𝑥𝑥) = 𝑓𝑓(𝑥𝑥) + 1 2𝜋𝜋 ∫ ∅𝑥𝑥(𝑡𝑡)𝜋𝜋 0 𝑐𝑐𝑠𝑠𝑛𝑛(𝑛𝑛+1)𝑡𝑡 𝑐𝑐𝑠𝑠𝑛𝑛�𝑡𝑡 2� � 𝑑𝑑𝑡𝑡 (4.2)	cache/american_scientific_journal-4764.pdf	txt/american_scientific_journal-4764.txt