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8 papers · 1 filter
Some Hermite-Hadamard type inequalities in the class of hyperbolic p-convex functions
Silvestru Sever Dragomir, Berikbol T. Torebek
In this paper, obtained some new class of Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities via fractional integrals for the p-hyperbolic convex functions. It is shown…
Trapezoidal type inequalities related to h-convex functions with applications
M. Rostamian Delavar, S. S. Dragomir
A mapping M(t) is considered to obtain some preliminary results and a new trapezoidal form of Fejer inequality related to the h-convex functions. Furthermore the obtained results a…
Bessel type inequalities in Hilbert C*-modules
S. S. Dragomir, M. Khosravi, M. S. Moslehian
Regarding the generalizations of the Bessel inequality in Hilbert spaces which are due to Bombiari and Boas--Bellman, we obtain a version of the Bessel inequality and some generali…
Advances on Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Spaces
Sever Silvestru Dragomir
The purpose of this survey is to give a comprehensive introduction to some classes of classical and recent analytic inequalities in Inner Product Spaces.
Reverses of the Continuous Triangle Inequality for Bochner Integral of Vector-Valued Functions in Hilbert Spaces
Sever Silvestru Dragomir
Some reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces are given. Applications for complex-valued functions are provi…
Some Reverses of the Generalised Triangle Inequality in Complex Inner Product Spaces
Sever Silvestru Dragomir
Some reverses for the generalised triangle inequality in complex inner product spaces that improve the classical Diaz-Metcalf results and applications are given.