Titlebook: Approximation Theory and Analytic Inequalities; Themistocles M. Rassias Book 2021 Springer Nature Switzerland AG 2021 mathematical analysi

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Intact

Th. Baumann,E. Klenk,S. ScheideggerPark et al. (Rocky Mt J Math ., 593–607 (2019)) solved the following bi-additive .-functional inequalities: .where . is a fixed nonzero complex number with |.| < 1. Using the direct method, we prove the Hyers–Ulam stability of quasi-multipliers on Banach algebras, associated with the bi-additive .-functional inequalities (1) and (2).

opalescence

Fritz Klinge,O. Lubarsch,R. Ostertag,W. FreiIn this work, the Hyers–Ulam type stability and the hyperstability of the following functional equations . are proved. We also introduce and solve some .-functional inequalities, and we prove their Hyers–Ulam stabilities.

GEON

Fritz Klinge,O. Lubarsch,R. Ostertag,W. FreiIn this paper, we establish the stability of the functional equation . on amenable groups.

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Injunction

Accurate Approximations of the Weighted Exponential Beta Function,In this chapter, we provide several error bounds in approximating the . function . where ., . and . are positive numbers, with some simple quadrature rules of Beta-Taylor, Ostrowski and Trapezoid type.

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