id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-620	Nigam, Hare Krishna	Approximation of Conjugate of Functions belonging to Lip (alpha) Class and Weighted Class (L(r), xi(t)) by Product Means of Conjugate Series of Fourier Series	2011	11	.pdf	application/pdf	3562	122	78	t = I1.1 + I1.2 (say) (24) Now using Lemma 1, we have � �I1.1 � � ≤ ∫ 1 n+1 0 � �ψ (t) � � � �Gn (t) � �d t = ∫ 1 n+1 0 |tα| t d t = ∫ 1 n+1 0 tα−1d t = � tα α � 1 n+1 0 = O � 1 (n+ 1)α � (25) A function f ∈ Lipα if f (x + t)− f (x) = O � |t|α � for 0< α≤ 1. (6) H. Nigam, K. Sharma / Eur.	cache/ejpam-620.pdf	txt/ejpam-620.txt