Mathematical Inequalities: A Perspective by Pietro Cerone,Silvestru Sever Dragomir
By Pietro Cerone,Silvestru Sever Dragomir
Drawing at the authors’ examine paintings from the final ten years, Mathematical Inequalities: A Perspective offers readers a unique perspective of the sector. It discusses the significance of varied mathematical inequalities in modern arithmetic and the way those inequalities are utilized in assorted purposes, akin to medical modeling.
The authors contain quite a few classical and up to date effects which are understandable to either specialists and normal scientists. They describe key inequalities for actual 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. in addition they specialize in the position of indispensable inequalities, resembling Hermite–Hadamard inequalities, in smooth research. additionally, the publication 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 offered, effects are complemented with many specific feedback that display wealthy interconnections among the inequalities. those discussions create a ordinary platform for extra examine in functions and comparable fields.
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