A generalized sum-difference inequality and applications to partial difference equations.
A Grüss type inequality for sequences of vectors in inner product spaces and applications.
A Grüss-type inequality and its applications.
A Hardy inequality with remainder terms in the Heisenberg group and the weighted eigenvalue problem.
A Hardy type inequality for functions
We consider functions , where is a smooth bounded domain, and is an integer. For all , such that , we prove that with , where is a smooth positive function which coincides with dist near , and denotes any partial differential operator of order .
A Hilbert integral-type inequality with parameters.
A Hilbert's inequality with a best constant factor.
A Hilbert-type integral inequality in the whole plane with the homogeneous kernel of degree .
A Hilbert-type integral inequality with a hybrid kernel and its applications
We prove a multi-parameter Hilbert-type integral inequality with a hybrid kernel. We describe the best constant in the inequality in terms of hypergeometric functions. Some equivalent forms of the inequalities are also studied. By specifying parameter values we obtain results proved by other authors as well as many new inequalities.
A linear inequality of Gronwall's type containing multiple integral
A local minimum energy condition of hexagonal circle packing.
A logarithmic extension of the Hölder inequality.
A lower bound for ratio of power means.
A mean value inequality for positive integral transformations with application to a maximal theorem
A minimum energy condition of 1-dimensional periodic sphere packing.
A monotonicity property of power means.
A monotonicity property of ratios of symmetric homogeneous means.
A more generalized Gronwall-like integral inequality with applications.
A multiple Hardy-Hilbert integral inequality with the best constant factor.
A multiple Hilbert-type integral inequality with the best constant factor.