Riemann-stieltjes integral inequalities for complex functions defined on unit circle, Dragomir, Silvestru Sever (victoria University, Melbourne, Australia)

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 Ryll-Nardzewski; Cebysev's; the Cauchy-Bunyakovsky-Schwarz; and De Bruijn's inequalities. They also focus on the role of integral inequalities, such as Hermite-Hadamard inequalities, in modern analysis. In addition, the book covers Schwarz, Bessel, Boas-Bellman, Bombieri, Kurepa, Buzano, Precupanu, Dunkl-William, and Grьss inequalities as well as generalizations of Hermite-Hadamard 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.