Estimates for Integral Means of Hyperbolically Convex Functions

2005 ◽  
Vol 46 (6) ◽  
pp. 1062-1068
Author(s):  
I. R. Kayumov ◽  
Yu. V. Obnosov
Keyword(s):  
Convex Functions ◽  
Integral Means ◽  
Hyperbolically Convex Functions

scholarly journals Hyperbolically convex functions

1994 ◽  
Vol 60 (1) ◽  
pp. 81-100 ◽  
Author(s):  
Wancang Ma ◽  
David Minda
Keyword(s):  
Convex Functions ◽  
Hyperbolically Convex Functions

scholarly journals On some weighted integral inequalities for convex functions related to Fejér’s result

Filomat ◽  
2011 ◽  
Vol 25 (1) ◽  
pp. 195-218
Author(s):  
K.L. Tseng ◽  
Shiow-Ru Hwang ◽  
S.S. Dragomir
Keyword(s):  
Convex Functions ◽  
Integral Inequalities ◽  
Integral Means ◽  
Weighted Integral

In this paper, we introduce some functionals associated with weighted integral means for convex functions. Some new Fej?r-type inequalities are obtained as well.

scholarly journals Hyperbolically convex functions II

1999 ◽  
Vol 71 (3) ◽  
pp. 273-285 ◽  
Author(s):  
William Ma ◽  
David Minda
Keyword(s):  
Convex Functions ◽  
Hyperbolically Convex Functions

On hyperbolically convex functions

2000 ◽  
Vol 10 (2) ◽  
pp. 365-378 ◽  
Author(s):  
Diego Mejía ◽  
Christian Pommerenke
Keyword(s):  
Convex Functions ◽  
Hyperbolically Convex Functions

scholarly journals Three Extremal Problems for Hyperbolically Convex Functions

2004 ◽  
Vol 4 (1) ◽  
pp. 97-109 ◽  
Author(s):  
Roger W. Barnard ◽  
Kent Pearce ◽  
G. Brock Williams
Keyword(s):  
Convex Functions ◽  
Extremal Problems ◽  
Hyperbolically Convex Functions

Distortion theorems for hyperbolically convex functions

2001 ◽  
Vol 44 (2) ◽  
pp. 117-130 ◽  
Author(s):  
Diego Mejía ◽  
Christian Pommerenke ◽  
Alexander Vasil'ev
Keyword(s):  
Convex Functions ◽  
Distortion Theorems ◽  
Hyperbolically Convex Functions

scholarly journals The integral means of close-to-convex functions.

1972 ◽  
Vol 19 (4) ◽  
pp. 377-379 ◽  
Author(s):  
Donald R. Wilken
Keyword(s):  
Convex Functions ◽  
Integral Means
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