id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4444	Sonubon, Annop ; Orankitjaroen, Somsak; Nonlaopon, Kamsing	Bounds for the Convex Combination of Contra-harmonic and Harmonic Means by the Generalized Logarithmic Mean	2022	24	.pdf	application/pdf	8029	463	88	[ − (4α+ 2)(4α+ 1)(3α− 1)(2α− 1) + 2α(5α− 3)(4α+ 1)(4α− 1) + 3α ] t4−4α + [ − 2(2α2 − α+ 1)(4α− 1)(2α− 1) + α(4α− 1)(2α− 1)(3− 4α) ] < (2α− 1)(4α− 1) [ − α(4α+ 2)(4α+ 1)(3α− 1)(2α− 1) + 2α(5α− 3)(4α+ 1)(4α− 1) ] t2 + [ − 2(2α2 − α+ 1)(4α− 1)(2α− 1) + 3α ] t4−4α − α(4α− 1)(2α− 1)(4α− 3) = −2(1− α)(4α+ 1)(8α2 − 5α+ 1)t2 + (−32α4 + 40α3 − 32α2 + 17α− 2)t4−4α − α(4α− 1)(2α− 1)(4α− 3).	cache/ejpam-4444.pdf	txt/ejpam-4444.txt