**Abstract**

# Mathematical Analysis and Applications (Closed)

A topical collection in *Axioms* (ISSN 2075-1680). This collection belongs to the section "Mathematical Analysis".

## Editor

**Interests:**real and complex analysis; fractional calculus and its applications; integral equations and transforms; higher transcendental functions and their applications; q-series and q-polynomials; analytic number theory; analytic and geometric Inequalities; probability and statistics; inventory modeling and optimization

Special Issues, Collections and Topics in MDPI journals

## Topical Collection Information

Dear Colleagues,

Investigations involving the theory and applications of the mathematical analytic tools and techniques are remarkably widespread in many diverse areas of the mathematical, physical, chemical, engineering, and statistical sciences. In this Collection, we invite and welcome review, expository, and original research articles dealing with the recent advances in mathematical analysis and its multidisciplinary applications.

Looking forward to your contribution to this Topical Collection,

Cordially yours,

Prof. Dr. H. M. Srivastava*Collection Editor*

**Manuscript Submission Information**

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## Keywords

- Mathematical (or higher transcendental) functions and their applications
- Fractional calculus and its applications
- q-series and q-polynomials
- Analytic number theory
- Special functions of mathematical physics and applied mathematics
- Geometric function theory of complex analysis

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**Abstract**

**Abstract**

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*h*goes to zero. The new probability laws we propose here highlight that there exists, depending on

*h*, cases where the

*h*goes away from zero, a finite element

*is more accurate than*

**Abstract**

**Abstract**

**Abstract**

*G*contains [...] Read more.

*G*contains at least one loop-reduced finite path, then the order of

*∞*or 1 (under the definition and a natural axiomatization) for the graph groupoids

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*G*. A loop-reduced finite path generates a semicircular element in graph groupoid algebra. Thus, the existence of semicircular systems acting on the free-probabilistic structure of a given graph

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**Abstract**

*c*

_{0}(Ω,

*X*) Cited by 2 | Viewed by 2266

**Abstract**

*X*, the normed space

*X*is, respectively, barrelled, ultrabornological, or unordered [...] Read more.

*X*, the normed space

*X*is, respectively, barrelled, ultrabornological, or unordered Baire-like. When

*X*is a metrizable locally convex space, with an increasing sequence of semi-norms

*p*if and only if

*X*is, respectively, quasi barrelled, barrelled, ultrabornological, bornological, unordered Baire-like, totally barrelled, and barrelled of class

*p*. The main result of this paper is that the metrizable

*X*is baireled, and its proof is divided in several lemmas, with the aim of making it easier to read. An application of this result to closed graph theorem, and two open problems are also presented. Full article

**Abstract**

**Abstract**

**Abstract**

*Big Data in the Internet of Things*, enabled by device miniaturization and data storage capacity. Bayesian spatial statistics is a useful statistical tool to determine the dependence structure and hidden patterns in space [...] Read more.

*Big Data in the Internet of Things*, enabled by device miniaturization and data storage capacity. Bayesian spatial statistics is a useful statistical tool to determine the dependence structure and hidden patterns in space through prior knowledge and data likelihood. However, this class of modeling is not yet well explored when compared to adopting classification and regression in machine-learning models, in which the assumption of the spatiotemporal independence of the data is often made, that is an inexistent or very weak dependence. Thus, this systematic review aims to address the main models presented in the literature over the past 20 years, identifying the gaps and research opportunities. Elements such as random fields, spatial domains, prior specification, the covariance function, and numerical approximations are discussed. This work explores the two subclasses of spatial smoothing:

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*ψ*-Preinvex Functions and Applications Cited by 4 | Viewed by 1791

**Abstract**

*ψ*-preinvex functions. To [...] Read more.

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**Abstract**

**Abstract**

**Abstract**

**Abstract**

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*r*-Associated Stirling Numbers of the Second Kind and Generalized Bernoulli Polynomials Cited by 4 | Viewed by 2799

**Abstract**

*r*-associated Stirling numbers of the second kind and examine their connections with a class of generalized Bernoulli polynomials. Herein, we use the Blissard umbral approach and the familiar Bell polynomials. Links [...] Read more.

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**Abstract**

**Abstract**

**Abstract**

_{3}

*F*

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**Abstract**

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**Abstract**

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**Abstract**

*L*-index in the direction

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**Abstract**

**Abstract**

*E*a separable Banach space and

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**Abstract**

*N*-uplet of

*N*-function [...] Read more.

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*N*-function satisfying the

**Abstract**

**Abstract**

**Abstract**

**Abstract**

**Abstract**

**Abstract**

*c*-Distance in Cone

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**Abstract**

*c*-distance in cone

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*c*-distance in cone

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**Abstract**

**Abstract**

**Abstract**

*L*-Index in Direction Cited by 15 | Viewed by 2863

**Abstract**

*L*-index in the direction

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**Abstract**

**Abstract**

*f*(

*x*

_{1}+

*y*

_{1},

*x*

_{2}+

*y*

_{2}, …,

*x*

_{n}_{}+

*y*) =

_{n}*f*(

*x*

_{1},

*x*

_{}[...] Read more.

*f*(

*x*

_{1}+

*y*

_{1},

*x*

_{2}+

*y*

_{2}, …,

*x*

_{n}_{}+

*y*) =

_{n}*f*(

*x*

_{1},

*x*

_{2}, …

*x*) +

_{n}*f*(

*y*

_{1},

*y*

_{2}, …,

*y*). By restricting the domain of a mapping

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*b*-metric spaces and prove modifications of fixed point theorems for Reich and Hardy–Rogers type contractions. We present an approach generalizing some fixed point theorems to the case of almost

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**Abstract**

**Abstract**

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**Abstract**

*Topol. Appl.*

**2016**, [...] Read more.

*Topol. Appl.*

**2016**,

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**Abstract**

**Abstract**

**Abstract**

**Abstract**

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_{b}**Abstract**

**Abstract**

**Website: http://www.math.uvic.ca/faculty/harimsri/ [...]**Full article

**Abstract**

*α*,

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**Abstract**

**Abstract**

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**Abstract**

**Abstract**

**Abstract**

**Abstract**

**Abstract**

**Abstract**

*W*—Asymptotically

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**Abstract**

**Abstract**

**Abstract**

**Abstract**

**Abstract**

**Abstract**

**Abstract**

**Abstract**

*k*, we derive some identities and relations including the combinatorial numbers, the Apostol-Bernoulli polynomials and numbers of order [...] Read more.

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