Zhengzhou university, Daxue Road 75, zhengzhou city, Henan 450052, China. Jiaozuo Teacher's College, Jiaozuo city, Henan 454150, China. Email: sunjianshe@126.com
(Communicated by John M. Rassias)
Let f be a positive strictly increasing logarithmic convex (or logarithmic concave) function on (0, 1], then, for k being a nonnegative integer and n a natural number, the sequence is decreasing in n and k and has a lower bound ∫10 ƒ(t)dt. From this, some new inequalities involving are deduced.
Alzer's inequality, Kuang's inequality, Logarithmic convex, Logarith
