An identity for the Chebychev functional is presented in which a Riemann-Stieltjes integral is involved. This allows bounds for the functional to be obtained for functions that are of boundedâ€¦ (More)

In this paper, alternative proofs are provided for monotonic and logarithmically convex properties of the one-parameter mean values JÃ°rÃž and for monotonic properties of the product JÃ°rÃžJÃ° rÃž on Ã°â€¦ (More)

Recent technological advances in mobile communications have allowed public to take part in noncritical elections (such as deciding the most valuable player in sports events) with low-power, low-costâ€¦ (More)

Let f be an increasing and convex (concave) function on [0, 1) and Ï† a positive increasing concave function on [0,âˆž) such that Ï†(0) = 0 and the sequence { Ï†(i+1) ( Ï†(i+1) Ï†(i) âˆ’ 1 )} iâˆˆN decreases (â€¦ (More)

K e y w o r d s O s t r o w s k i inequality, Quadrature formulae. 1. I N T R O D U C T I O N In 1938, Ostrowski proved the following interesting inequality [1, p. 469]. THEOREM 1. Let f : [a, b] ~ Râ€¦ (More)