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Dragomir, Sever Silvestru 한국산업정보응용수학회 1998 한국산업정보응용수학회 Vol.2 No.2
An estimation of remainder for Simpson's quadrature formula for differentiable mappings whose derivatives belong to L_(p)-spaces and applications in theory of special means (logarithmic mean, identric mean etc ...) are given.
Dragomir, Sever Silvestru Korean Mathematical Society 2007 대한수학회보 Vol.44 No.3
Sharp error estimates in approximating the Stieltjes integral with bounded integrands and bounded integrators respectively, are given. Applications for three point quadrature rules of n-time differentiable functions are also provided.
INEQUALITIES FOR THE RIEMANN-STIELTJES INTEGRAL OF PRODUCT INTEGRATORS WITH APPLICATIONS
Silvestru Sever Dragomir 대한수학회 2014 대한수학회지 Vol.51 No.4
We show amongst other that if f,g : [a,b] → C are two func- tions of bounded variation and such that the Riemann-Stieltjes integral ∫ba f(t)dg (t) exists, then for any continuous functions h : [a,b] → C, the Riemann-Stieltjes integral ∫ba h(t)d(f(t)g(t)) exists and ∫ba h(t)d(f(t)g(t)) = ∫bah9t)f(t)d(g(t)) + ∫ba h(t)g(t)d(f(t)). Using this identity we then provide sharp upper bounds for the quantity |∫ba h(t)d(f(t)g(t))| and apply them for trapezoid and Ostrowski type inequalities. Some applications for continuous functions of selfadjoint operators on complex Hilbert spaces are given as well.
SOME INEQUALITIES FOR THE WEIGHTED CHAOTICALLY GEOMETRIC MEAN
Silvestru Sever Dragomir 한국수학교육학회 2019 純粹 및 應用數學 Vol.26 No.3
In this paper we obtain some new inequalities for the weighted chaoti- cally geometric mean of two positive operators on a complex Hilbert space.
WEIGHTED INTEGRAL INEQUALITIES FOR GG-CONVEX FUNCTIONS
DRAGOMIR, SILVESTRU SEVER The Korean Society for Computational and Applied M 2018 Journal of applied mathematics & informatics Vol.36 No.3
Some weighted integral inequalities of Hermite-Hadamard type for GG-convex functions defined on positive intervals are given. Applications for special means are also provided.
WEIGHTED INTEGRAL INEQUALITIES FOR GG-CONVEX FUNCTIONS
Silvestru Sever Dragomir 한국전산응용수학회 2018 Journal of applied mathematics & informatics Vol.36 No.3
Some weighted integral inequalities of Hermite-Hadamard type for GG-convex functions defined on positive intervals are given. Applications for special means are also provided.
INEQUALITIES FOR QUANTUM f-DIVERGENCE OF CONVEX FUNCTIONS AND MATRICES
Dragomir, Silvestru Sever The Kangwon-Kyungki Mathematical Society 2018 한국수학논문집 Vol.26 No.3
Some inequalities for quantum f-divergence of matrices are obtained. It is shown that for normalised convex functions it is nonnegative. Some upper bounds for quantum f-divergence in terms of variational and ${\chi}^2-distance$ are provided. Applications for some classes of divergence measures such as Umegaki and Tsallis relative entropies are also given.