Some new limit cases of Hardy-type inequalities are proved, discussed and compared. In particular, some new refinements of Bennett’s inequalities are proved. Each of these refined inequalities contain two constants, and both constants are in fact sharp. The technique in the proofs is new and based on some convexity arguments of independent interest
AbstractOptimal constants are found in Hardy–Rellich inequalities containing derivatives of arbitrar...
© 2015, Allerton Press, Inc. We describe non-convex domains for which the Hardy constants are the sa...
We establish new inequalities similar to Hardy-Pachpatte-Copson’s type inequalities. These results i...
Some new limit cases of Hardy-type inequalities are proved, discussed and compared. In particular, s...
The current status concerning Hardy-type inequalities with sharp constants is presented and describe...
The sharp constants in Hardy type inequalities are known only in a few cases. In this paper we discu...
[[abstract]]The aim of the present note is to establish some refinements of generalization of Hardy'...
Refinements of some limit Hardy-type inequalities are derived and discussed using the concept of sup...
© 2015, Allerton Press, Inc. We prove new weighted Hardy type inequalities with sharp constants and ...
A recently discovered Hardy-Pólya type inequality described by a convex function is considered and f...
AbstractIn this paper, by using Jensen’s inequality and Hadamard’s integral inequality for a convex ...
Let Ω be an open set in ℝn such that Ω ≠ ℝn. For 1 ≤ p n, then for arbitrary open sets Ω ⊂ ℝn (Ω ≠ ...
In this paper, we generalize a Hardy-type inequality to the class of arbitrary non-negative function...
Some new discrete inequalities involving monotonic or convex functions are obtained. While these are...
In this paper, we extend Hardy’s type inequalities to convex functions of higher order. Upper bounds...
AbstractOptimal constants are found in Hardy–Rellich inequalities containing derivatives of arbitrar...
© 2015, Allerton Press, Inc. We describe non-convex domains for which the Hardy constants are the sa...
We establish new inequalities similar to Hardy-Pachpatte-Copson’s type inequalities. These results i...
Some new limit cases of Hardy-type inequalities are proved, discussed and compared. In particular, s...
The current status concerning Hardy-type inequalities with sharp constants is presented and describe...
The sharp constants in Hardy type inequalities are known only in a few cases. In this paper we discu...
[[abstract]]The aim of the present note is to establish some refinements of generalization of Hardy'...
Refinements of some limit Hardy-type inequalities are derived and discussed using the concept of sup...
© 2015, Allerton Press, Inc. We prove new weighted Hardy type inequalities with sharp constants and ...
A recently discovered Hardy-Pólya type inequality described by a convex function is considered and f...
AbstractIn this paper, by using Jensen’s inequality and Hadamard’s integral inequality for a convex ...
Let Ω be an open set in ℝn such that Ω ≠ ℝn. For 1 ≤ p n, then for arbitrary open sets Ω ⊂ ℝn (Ω ≠ ...
In this paper, we generalize a Hardy-type inequality to the class of arbitrary non-negative function...
Some new discrete inequalities involving monotonic or convex functions are obtained. While these are...
In this paper, we extend Hardy’s type inequalities to convex functions of higher order. Upper bounds...
AbstractOptimal constants are found in Hardy–Rellich inequalities containing derivatives of arbitrar...
© 2015, Allerton Press, Inc. We describe non-convex domains for which the Hardy constants are the sa...
We establish new inequalities similar to Hardy-Pachpatte-Copson’s type inequalities. These results i...
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