Upper bounds for analytic summand functions and related inequalities
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Soodeh Mehboodi
Abstract
The topic of analytic summability of functions was introduced and studied in 2016 by Hooshmand. He presented some inequalities and upper bounds for analytic summand functions by applying Bernoulli polynomials and numbers. In this work we apply upper bounds, represented by Hua-feng, for Bernoulli numbers to improve the inequalities and related results. Then, we observe that the inequalities are sharp and leave a conjecture about them. Also, as some applications, we use them for some special functions and obtain many particular inequalities. Moreover, we arrived at the inequality
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(Communicated by Marek Balcerzak)
References
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© 2021 Mathematical Institute Slovak Academy of Sciences
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Artikel in diesem Heft
- Regular papers
- Algebraic structures for pairwise comparison matrices: Consistency, social choices and Arrow’s theorem
- Polynomial functions on rings of dual numbers over residue class rings of the integers
- Sufficient conditions for p-valent functions
- Upper bounds for analytic summand functions and related inequalities
- Global structure for a fourth-order boundary value problem with sign-changing weight
- On the nonexistence conditions of solution of two-point in time problem for nonhomogeneous PDE
- Solvability of a nonlinear three-dimensional system of difference equations with constant coefficients
- Properties of critical and subcritical second order self-adjoint linear equations
- Korovkin type approximation via statistical e-convergence on two dimensional weighted spaces
- Approximation by a new sequence of operators involving Apostol-Genocchi polynomials
- Poisson like matrix operator and its application in p-summable space
- On the homological and algebraical properties of some Feichtinger algebras
- Disjoint topological transitivity for weighted translations generated by group actions
- On simultaneous limits for aggregation of stationary randomized INAR(1) processes with poisson innovations
- Marshall-Olkin Lindley-Log-logistic distribution: Model, properties and applications
- The shifted Gompertz-G family of distributions: Properties and applications
- On the testing hypothesis in uniform family of distributions with nuisance parameter
- Clarkson inequalities related to convex and concave functions
