Mathematical Inequalities

Drawing on the authors research work from the last ten years, Mathematical Inequalities: A Perspective gives readers a different viewpoint of the field. It discusses the importance of various mathematical inequalities in contemporary mathematics and how these inequalities are used in different applications, such as scientific modeling. The authors include numerous classical and recent results that are comprehensible to both experts and general scientists. They describe key inequalities for real or complex numbers and sequences in analysis, including the Abel; the Biernacki, Pidek, and RyllNardzewski; Cebysevs; the CauchyBunyakovskySchwarz; and De Bruijns inequalities. They also focus on the role of integral inequalities, such as HermiteHadamard inequalities, in modern analysis. In addition, the book covers Schwarz, Bessel, BoasBellman, Bombieri, Kurepa, Buzano, Precupanu, DunklWilliam, and Grss inequalities as well as generalizations of HermiteHadamard inequalities for isotonic linear and sublinear functionals. For each inequality presented, results are complemented with many unique remarks that reveal rich interconnections between the inequalities. These discussions create a natural platform for further research in applications and related fields.