Results 11 to 20 of about 166,134,711 (162)
Schur-convexity of the Extended Mean Values [PDF]
, 2001 In this article, the Schur-convexity of the extended mean values are proved. Consequently, an inequality between the logarithmic mean values and the identity (exponential) mean values is ...
Qi, Feng
core +6 more sources
Generalized Abstracted Mean Values [PDF]
, 1998 In this article, the author introduces the generalized abstracted mean values which extend the concepts of most means with two variables, and researches their basic properties and ...
Qi, Feng
core +6 more sources
Notes on the Schur-convexity of the Extended Mean Values [PDF]
, 2002 In this article, the Schur-convexities of the weighted arithmetic mean of function and the extended mean values are proved. Moreover, some inequalities involving the arithmetic mean, the harmonic mean, the logarithmic mean, and comparison between the ...
Qi, Feng +3 more
core +6 more sources
The local limit theorem of Delange in the Knopfmacher's semigroup
Lietuvos Matematikos Rinkinys, 2004 An asymptotic formula of the mean value of multiplicative arithmetic function from the class Ma(G) with asymptotical expansion of the main term is obtained. In the present paper the local limit theorem of the H. Delange type is proved.
Rimantas Skrabutėnas
doaj +3 more sources
Asymptotical expansions in the Kubilius theorem of large deviations
Lietuvos Matematikos Rinkinys, 2005 In the present paper, a local theorem of large deviations for arithmetic functions defined in Knopfmacher’s semigroup is obtained.
Rimantas Skrabutėnas
doaj +3 more sources
Other Proofs of Monotonicity for Generalized Weighted Mean Values [PDF]
, 1999 In this article, another two simple and short proofs of monotonicity for the generalized weighted mean values with two parameters are ...
Qi, Feng, Mei, Jia-Qiang, Xu, Sen-Lin
core +6 more sources
Logarithmically Completely Monotonic Ratios of Mean Values and an Application [PDF]
, 2005 In the article, some strictly Logarithmically completely monotonic ratios of mean values are ...
Qi, Feng, Chen, Chao-Ping
core +6 more sources
Vinogradov's mean value theorem via efficient congruencing [PDF]
, 2012 We obtain estimates for Vinogradov's integral that for the first time approach those conjectured to be the best possible. Several applications of these new bounds are provided.
Wooley, Trevor D., Trevor D. Wooley
core +1 more source
Logarithmic Convexity of the One-Parameter Mean Values [PDF]
, 2004 In this article, the logarithmic convexity of the one-parameter mean values J(r) and the monotonicity of the product J(r)J(−r) with r Є R are presented. Some more general results are established.
Qi, Feng, Cheung, Wing Sum
core +6 more sources
Journal of Hydrology: Regional StudiesStudy Region: The study was conducted in the Červík experimental catchment, a 1.83 km² fully forested mountain catchment located in the Moravian-Silesian Beskids, Czech Republic. The catchment has been monitored since 1953 as part of a long-term forestry
Martina Brychtová +6 more
doaj +1 more source