scholarly journals Sharp integral inequalities for C-monotone functions of several variables

2000 ◽  
pp. 51-62
Author(s):  
Ivan Perić ◽  
Lars-Erik Persson ◽  
Anna Wedestig
Keyword(s):  
Integral Inequalities ◽  
Monotone Functions ◽  
Several Variables

scholarly journals Some Hermite–Hadamard type integral inequalities for convex functions defined on convex bodies in ℝn\mathbb{R}^{n}

2020 ◽  
Vol 26 (1) ◽  
pp. 67-77 ◽  
Author(s):  
Silvestru Sever Dragomir
Keyword(s):  
Euclidean Space ◽  
Convex Functions ◽  
Convex Bodies ◽  
Integral Inequalities ◽  
Divergence Theorem ◽  
Several Variables ◽  
Type Integral ◽  
Bounded Convex

AbstractIn this paper, by the use of the divergence theorem, we establish some integral inequalities of Hermite–Hadamard type for convex functions of several variables defined on closed and bounded convex bodies in the Euclidean space {\mathbb{R}^{n}} for any {n\geq 2}.

Reversed Hölder Type Inequalities for Monotone Functions of Several Variables

1997 ◽  
Vol 186 (1) ◽  
pp. 67-80 ◽  
Author(s):  
Sorina Barza ◽  
Josip Pečarlć ◽  
Lars-Erik Person
Keyword(s):  
Monotone Functions ◽  
Several Variables

Hardy-type integral inequalities for quasi-monotone functions

2017 ◽  
Vol 24 (4) ◽  
Author(s):  
Pankaj Jain ◽  
Monika Singh ◽  
Arun Pal Singh
Keyword(s):  
Integral Inequalities ◽  
Monotone Functions ◽  
Lebesgue Spaces ◽  
Hardy Type ◽  
Grand Lebesgue Spaces ◽  
Type Integral

AbstractWe consider quasi-monotone functions and discuss various Hardy-type integral inequalities on weighted Lebesgue and grand Lebesgue spaces.

scholarly journals Operator monotone functions and Löwner functions of several variables

2012 ◽  
Vol 176 (3) ◽  
pp. 1783-1826 ◽  
Author(s):  
Jim Agler ◽  
John McCarthy ◽  
Nicholas Young
Keyword(s):  
Monotone Functions ◽  
Several Variables ◽  
Operator Monotone ◽  
Operator Monotone Functions
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