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8 papers · 1 filter
Three dimensional central configurations in H3 and S3
Suo Zhao, Shuqiang Zhu
We show that each central configuration in the three-dimensional hyperbolic sphere is equivalent to one central configuration on a particular two- dimensional hyperbolic sphere. Ho…
Affine and Functional Form of Jensen's Inequalitiy for -convex Functions at a Point
Imran Abbas Baloch, Silvestru Sever Dragomir
In this paper, we give the refinement of an extension of Jensen's inequality to affine combinations. Furthermore, we present the functional form of Jensen's inequality for continuo…
Reverses of the Triangle Inequality in Banach Spaces
Sever Silvestru Dragomir
Recent reverses for the discrete generalised triangle inequality and its continuous version for vector-valued integrals in Banach spaces are surveyed. New results are also obtained…
Reverses of the Cauchy-Bunyakovsky-Schwarz Inequality for n-tuples of Complex Numbers
Sever Silvestru Dragomir
Some new reverses of the Cauchy-Bunyakovsky-Schwarz inequality for n-tuples of real and complex numbers related to Cassels and Shisha-Mond results are given.
On Some Gronwall Type Inequalities Involving Iterated Integrals
Y. J. Cho, S. S. Dragomir, Y. -H. Kim
In this paper, some new Gronwall type inequalities involving iterated integrals are given.
On the Boas-Bellman Inequality in Inner Product Spaces
Sever Silvestru Dragomir
New results related to the Boas-Bellman generalisation of Bessel's inequality in inner product spaces are given.