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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 27
  3. Acta Mathematica Sinica, English Series : Volume 27, Issue 4, April 2011
  4. Bounds for Hardy type differences
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Acta Mathematica Sinica, English Series : Volume 32
Acta Mathematica Sinica, English Series : Volume 31
Acta Mathematica Sinica, English Series : Volume 30
Acta Mathematica Sinica, English Series : Volume 29
Acta Mathematica Sinica, English Series : Volume 28
Acta Mathematica Sinica, English Series : Volume 27
Acta Mathematica Sinica, English Series : Volume 27, Issue 12, December 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 11, November 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 10, October 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 9, September 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 8, August 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 7, July 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 6, June 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 5, May 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 4, April 2011
Distribution of a certain partition function modulo powers of primes
Halpern iteration in CAT(κ) spaces
Quantizations of the W-algebra W(2, 2)
Line-primitive linear spaces with Fang-Li parameter gcd(k, r) at most 12
Bounds for Hardy type differences
A Hopf type classification theorem for isovariant maps from free G-manifolds to representation spheres
Labelings of plane graphs containing Hamilton path
Finite groups with some pronormal subgroups
Fibonacci and Lucas congruences and their applications
Mackey first countability and docile locally convex spaces
On the Gauss-Weierstrass summability of multiple trigonometric series at µ-smoothness points
Constant angle surfaces in the Heisenberg group
Morita contexts and Galois theory for weak Hopf comodulelike algebras
Global existence of solutions for stochastic impulsive differential equations
Removable edges in cycles of a k-connected graph
Strong mixing subshift of finite type and Hausdorff measure of its chaotic set
Partial isometries and an invariant of C*-algebras
Acta Mathematica Sinica, English Series : Volume 27, Issue 3, March 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 2, February 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 1, January 2011
Acta Mathematica Sinica, English Series : Volume 26
Acta Mathematica Sinica, English Series : Volume 25
Acta Mathematica Sinica, English Series : Volume 24
Acta Mathematica Sinica, English Series : Volume 23
Acta Mathematica Sinica, English Series : Volume 22
Acta Mathematica Sinica, English Series : Volume 21
Acta Mathematica Sinica, English Series : Volume 20
Acta Mathematica Sinica, English Series : Volume 19
Acta Mathematica Sinica, English Series : Volume 18
Acta Mathematica Sinica, English Series : Volume 17
Acta Mathematica Sinica, English Series : Volume 16
Acta Mathematica Sinica, English Series : Volume 15
Acta Mathematica Sinica, English Series : Volume 14
Acta Mathematica Sinica, English Series : Volume 13

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Bounds for Hardy type differences

Content Provider Springer Nature Link
Author Krulić, Kristina Elezović, Neven Pečarić, Josip
Copyright Year 2011
Abstract Let A k be an integral operator defined by $$ A_k f\left( x \right) = \frac{1} {{K\left( x \right)}}\int_{\Omega _2 } {k\left( {x,y} \right)f\left( y \right)d\mu _2 \left( y \right),} $$ where k: Ω1 × Ω2 → ℝ is a general nonnegative kernel, (Ω1, Σ1, µ1), (Ω2, Σ2, µ2) are measure spaces with σ-finite measures and $$ K\left( x \right) = \int_{\Omega _2 } {k\left( {x,y} \right)d\mu _2 \left( y \right),} x \in \Omega _1 . $$ In this paper improvements and reverses of new weighted Hardy type inequalities with integral operators of such type are stated and proved. New Cauchy type mean is introduced and monotonicity property of this mean is proved.
Ending Page 684
Page Count 14
Starting Page 671
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 4
Volume Number 27
Language English
Publisher Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date 2011-03-15
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Hardy type inequalities Hilbert inequality Inequalities Inequalities for sums, series and integrals Hardy inequality Mathematics
Content Type Text
Resource Type Article
Subject Applied Mathematics
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