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Constantin Bu\c{s}e,Pietro Cerone,Sever Silvestru Dragomir,John Roumeliotis 대한수학회 2006 대한수학회지 Vol.43 No.5
A refinement of Gr"{u}ss type inequality for the Bochner integral ofvector-valued functions in real or complex Hilbert spaces is given. Relatedresults are obtained. Application for finite Fourier transforms ofvector-valued functions and some particular inequalities are provided.
On an inequality by Andrica and Rasa and its application for the Shannon and Renyi`s entropy
DRAGOMIR, S.S.,SUNDE, J.,ASENSTORFER, J. 한국산업정보응용수학회 2002 한국산업정보응용수학회 Vol.6 No.2
Applications of a result by Andrica and Ras¸a involving twice differentiable mappings for Shannon's and Re′nyi's entropy are given.
ON THE $\v{C}EBY\v{S}EV'S$ INEQUALITY FOR UNWEIGHTED MEANS AND APPLICATIONS
Dragomir, S.S. The Youngnam Mathematical Society Korea 2003 East Asian mathematical journal Vol.19 No.1
Some new sufficient conditions for the unweighted $\v{C}eby\v{s}ev's$ inequality for real sequences to hold and related results are given. Applications for the moments of guessing mappings are also provided.
INTEGRAL INEQUALITIES OF $GR\"{U}SS$ TYPE VIA $P\'{O}LYA-SZEG\"{O}$ AND SHISHA-MOND RESULTS
Dragomir, S.S.,Diamond, N.T. The Youngnam Mathematical Society Korea 2003 East Asian mathematical journal Vol.19 No.1
Integral inequalities of Gruss type obtained via $P\acute{o}lya-Szeg\ddot{o}$ and Shisha-Mond results are given. Some applications for Taylor's generalized expansion are also provided.
A WEIGHTED OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WITH VALUES IN HILBERT SPACES AND APPLICATIONS
Dragomir, S.S. Korean Mathematical Society 2003 대한수학회지 Vol.40 No.2
Some weighted Ostrowski type integral inequalities for vector-valued functions in Hilbert spaces are given. Applications for quadrature rules with values in Hilbert spaces are also pointed out.
Some Companions of Ostrowski's Inequality for Absolutely Continuous Functions and Applications
S.S. Dragomir 대한수학회 2005 대한수학회보 Vol.42 No.2
Companions of Ostrowski's integral inequality for ab- solutely continuous functions and applications for composite quad- rature rules and for p.d.f.'s are provided.
SOME COMPANIONS OF OSTROWSKI'S INEQUALITY FOR ABSOLUTELY CONTINUOUS FUNCTIONS AND APPLICATIONS
DRAGOMIR S. S. Korean Mathematical Society 2005 대한수학회보 Vol.42 No.2
Companions of Ostrowski's integral inequality for absolutely continuous functions and applications for composite quadrature rules and for p.d.J.'s are provided.
An n-dimensional Version of Ostrowski's Inequality for Mappings of the Hölder Type
S.S. Dragomir... et al KYUNGPOOK UNIVERSITY 2000 Kyungpook mathematical journal Vol.40 No.1
Generalizations for multiple integrals and mappings of the Hölder type, of the celebrated Ostrowski's inequality which extend Milovanović result from 1975, are given.