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An Approximation of the Hankel Transform for Absolutely Continuous Mappings
DRAGOMIR, N.M.,DRAGOMIR, S.S.,GU, M.,GAN, X.,WHITE, R. 한국산업정보응용수학회 2002 한국산업정보응용수학회 Vol.6 No.1
Using some techniques developed by Dragomir and Wang in the recent paper [2] in connection to Ostrowski integral inequality, we point out some approximation results for the Henkel's transform of absolutely continuous mapping.
A QUADRATURE RULE FOR THE FINITE HILBERT TRANSFORM VIA TRAPEZOID TYPE INEQUALITIES
Dragomir, N.M.,Dragomir, S.S.,Farrell, P.M.,Baxter, G.W. 한국전산응용수학회 2003 Journal of applied mathematics & informatics Vol.13 No.1
A quadrature rule for the finite Hilbert Trasnform via trapezoid type inequalities is obtained . Some numerical experiments for different divisions of the interval [a, b] are also presented.
Dragomir, Sever Silverstru,Cho, Yeol-Je,Kim, Seong-Sik,Kim, Young-Ho Department of Mathematics 2008 Kyungpook mathematical journal Vol.48 No.2
A new counterpart of Bessel's inequality for orthonormal families in real or complex 2-inner product spaces is obtained. Applications for some Gr$\"{u}$ss inequality for determinantal integral inequalities are also provided.
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.
Dragomir, S.S. Korean Mathematical Society 2002 대한수학회보 Vol.39 No.4
Some inequalities and approximations for the finite filbert transform by the use of Ostrowski type inequalities for absolutely continuous functions are given.
DRAGOMIR S. S.,HANNA G.,ROUMELIOTIS J. Korean Mathematical Society 2005 대한수학회보 Vol.42 No.4
A reverse of the Cauchy-Bunyakovsky-Schwarz integral inequality for complex-valued functions and applications for the finite Fourier transform are given.
SOME NEW RESULTS RELATED TO BESSEL AND GRUSS INEQUALITIES IN 2-INNER PRODUCT SPACES AND APPLICATIONS
DRAGOMIR S.S.,CHO, Y.J.,KIM, S.S. Korean Mathematical Society 2005 대한수학회보 Vol.42 No.3
Some new reverses of Bessel's inequality for orthonormal families in real or complex 2-inner product spaces are pointed out. Applications for some Gruss type inequalities and for determinantal integral inequalities are given as well.
INEQUALITIES FOR THE HILBERT TRANSFORM OF FUNCTIONS WHOSE DERIVATIVES ARE CONVEX
Dragomir, S.S. Korean Mathematical Society 2002 대한수학회지 Vol.39 No.5
Using the well known Hermite-Hadamard integral inequality for convex functions, some inequalities for the finite Hilbert transform of functions whose first derivatives are convex are established. Some numerical experiments are performed as well.