id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3776	Chanan, Sadia; Khan, Asif R.	New Refinement of Niezgoda’s Inequality with Applications to Ky Fan Inequality	2020	16	.pdf	application/pdf	4335	336	83	Under the assumptions stated above it should be noted that m∑ j=1 aj − m−1∑ j=1 l−1∑ k=0 λk+1xij+k  ∈ J. The aim of this paper is to present new refinement of Theorem 3. By applying the convex function φ(x) = ln ( x 1−x ) for all x ∈ (0, 12 ], to the inequality (6), we get, ln ( ∑m j=1 aj − ∑m−1 j=1 ∑n i=1wixij 1− ∑m j=1 aj + ∑m−1 j=1 ∑n i=1wixij ) ≤ n∑ i=1 wi ln ( ∑m j=1 aj − ∑m−1 j=1 ∑l−1	cache/ejpam-3776.pdf	txt/ejpam-3776.txt