A Remark on the Mandl’s Inequality

A short remark on the result of Jozsef Sandor

It is pointed out that, one of the results in the recently published article, ’On the Iyengar-Madhava Rao-Nanjundiah inequality and it’s hyperbolic version’ [3] by J´ozsef S´andor is logically incorrect and new corrected result with it’s proof is presented.

A Refinement of Mandl's Inequality and Approximation of the Product P

In this paper, first we refine Mandl’s inequality which asserts ∑ n i=1 pi < n 2 pn, for all n ≥ 9. Then, we consider the product p1p2 · · · pn and we refine some known lower bounds for it, and we find some upper bounds for it by using Mandl’s inequality and its refinement and the AGM-Inequality.

A Remark on a Remark by Macaulay or Enhancing Lazard Structural Theorem

On a Generalization of an Inequality Of

G. E. Forsythe, who edited the translation of Kantorovich's paper, included the following remark about this footnote: "It is not clear to me that Kantorovich's inequality really is a special case of that of Polya and Szego." Examining the relation between the two inequalities more closely we found that this remark is well justified and can be made even more specific in that the inequality of Po...

A remark on boundedness of composition operators between weighted spaces of holomorphic functions on the upper half-plane

In this paper, we obtain a sucient condition for boundedness of composition operators betweenweighted spaces of holomorphic functions on the upper half-plane whenever our weights are standardanalytic weights, but they don't necessarily satisfy any growth condition.