A companion of Ostrowski's inequality for functions of bounded variation and applications are given.

a companion of ostrowski's inequality for functions of bounded variation and applications are given.

It is well known that there are a great number of interesting results in Fourier analysis established by assuming monotonicity of coefficients, and many of them have been generalized by loosing the condition to quasi-monotonicity, O-regularly varying quasi-monotonicity, etc.. Generally speaking, it has become an important topic how to generalize monotonicity. Recently, Leindler [5] defined a ne...

Let r and s be two binary relations on 2 N which are meant as reducibilities. Let both relations be closed under nite variation (of their set arguments) and consider the uniform distribution on 2 N , which is obtained by choosing elements of 2 N by independent tosses of a fair coin. Then we might ask for the probability that the lower r-cone of a randomly chosen set X, that is, the class of all...

Recently Y. Meyer gave a characterization of the minimizer of the Rudin-OsherFatemi functional in terms of the -norm. In this work we generalize this result to regularization models with higher order derivatives of bounded variation. This requires us to define generalized -norms. We present some numerical experiments to support the theoretical considerations.

The rescue operations for emergency events usually require multiple emergency departments to cooperate with each other to provide effective and efficient resource allocation plans within a short time limit and dynamically adjust the plans as necessary. In the paper, an agent-based resource allocation approach is proposed to automatically allocate rescue resources to concurrent emergency events ...

We give some extensions of the classical chain rule rg(u)] = g 0 (u)ru and of the chain rule for transport operators a rg(u)] = g 0 (u) a ru, a 2 W 1;1 , via an inverse Sard lemma. Coeecients a of bounded variation are also treated in the case of a Vlasov operator.