Download Mathematical Inequalities: A Perspective by Pietro Cerone,Silvestru Sever Dragomir PDF

By Pietro Cerone,Silvestru Sever Dragomir

Drawing at the authors’ examine paintings from the final ten years, Mathematical Inequalities: A Perspective offers readers a distinct point of view of the sphere. It discusses the significance of assorted mathematical inequalities in modern arithmetic and the way those inequalities are utilized in varied purposes, reminiscent of medical modeling.

The authors comprise a variety of classical and up to date effects which are understandable to either specialists and basic scientists. They describe key inequalities for genuine or complicated numbers and sequences in research, together with the Abel; the Biernacki, Pidek, and Ryll–Nardzewski; Cebysev’s; the Cauchy–Bunyakovsky–Schwarz; and De Bruijn’s inequalities. additionally they concentrate on the function of fundamental inequalities, equivalent to Hermite–Hadamard inequalities, in glossy research. moreover, the e-book covers Schwarz, Bessel, Boas–Bellman, Bombieri, Kurepa, Buzano, Precupanu, Dunkl–William, and Grüss inequalities in addition to generalizations of Hermite–Hadamard inequalities for isotonic linear and sublinear functionals.

For every one inequality provided, effects are complemented with many special feedback that display wealthy interconnections among the inequalities. those discussions create a ordinary platform for extra examine in functions and similar fields.

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