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

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On the Stability of Some Functional Equations and ,-Functional Inequalities,In 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.

GLADE

,Stability of the Cosine–Sine Functional Equation on Amenable Groups,In this paper, we establish the stability of the functional equation . on amenable groups.

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Die ektogenen Infektionen des Auges,dinates with a kernel involving generalized Mittag-Leffler function. Several special cases are also discussed as applications of our main results. The techniques of this paper may be starting point for further research in this dynamic field.

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https://doi.org/10.1007/978-3-662-32548-3onvex functions also includes the harmonic convex functions and convex functions as special cases. These results represent refinement and improvement of the known results. Some cases are discussed, which can be obtained as applications of the results. The ideas and techniques of this chapter may be a starting point for further research.

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https://doi.org/10.1007/978-3-662-32535-3ications for continuous random variables having the probability density function (p.d.f.) defined on a finite interval are derived. Furthermore, some upper bounds for fractional expectation and fractional variance are given.

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