Some weighted Ostrowski type integral inequalities for operators and vector-valued functions in Banach spaces are given. Applications for linear operators in Banach spaces and differential equations are also provided.

Some Ostrowski type inequalities via Cauchy’s mean value theorem and applications for certain particular instances of functions are given.

there are few reports concerning interferon induced myocardial dysfunction. a known case of multiple myeloma who was receiving interferon alpha (ifa) for 14 months was brought to the emergency room in frank: pulmonary edema. after treatment of heart failure and discontinuation of interferon alpha, he remained asymptomatic thereafter. another case of chronic active hepatitis on ifa complained of...

In the early 60s, Harary and Hill conjectured H(n) := 1 4b2 cbn−1 2 cbn−2 2 cbn−3 2 c to be the minimum number of crossings among all drawings of the complete graph Kn. It has recently been shown that this conjecture holds for so-called shellable drawings of Kn. For n ≥ 11 odd, we construct a non-shellable family of drawings of Kn with exactly H(n) crossings. In particular, every edge in our dr...

On utilising an identity from [5], some weighted Ostrowski type inequalities are established.

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In this paper we derive weighted Ostrowski, Ostrowski-Grüss and Ostrowski-Čebyšev type inequalities on time scales. We also give some other interesting inequalities on time scales as special cases.

In this paper we derive new weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales. Some other interesting inequalities on time scales are also given as special cases.

The Ostrowski theorem in question is that an additive function bounded (above, say) on a set T of positive measure is continuous. In the converse direction, recall that a topological space T is pseudocompact if every function continuous on T is bounded. Thus theorems of ‘converse Ostrowski’type relate to ‘additive (pseudo)compactness’. We give a di¤erent characterization of such sets, in terms ...

In this paper we study Ostrowski type inequalities. We generalize some of the results presented in [1]. 2000 Mathematical Subject Classification: 26D15