Results 1 to 10 of about 718 (237)

Means as Improper Integrals [PDF]

Mathematics, 2019
The aim of this work is to study generalizations of the notion of the mean. Kolmogorov proposed a generalization based on an improper integral with a decay rate for the tail probabilities.
John E. Gray, Andrew Vogt
doaj   +2 more sources

Weighted multimodal family of distributions with sine and cosine weight functions [PDF]

Heliyon, 2020
In this paper, the moment of various types of sine and cosine functions are derived for any random variable. For an arbitrary even probability density function, the sine and cosine moments are used to define new families of univariate multimodal ...
Ayman Alzaatreh, Jaber Kazempoor, Adel Ahmadi Nadi   +2 more
doaj   +2 more sources

The improper neutrosophic integrals [PDF]

Neutrosophic Sets and Systems
In light of the expansion of research that dealt with the logic of the neutrosophic and its clear spread at the level of science, it was necessary for us to continue in the series of research that covers the calculus of neutrosophic integration, and this
Yaser Ahmad Alhasan, Issam Mohammed Abdallah Abdalaziz, Raja Abdullah Abdulfatah , Florentin Smarandache   +3 more
doaj   +2 more sources

A Novel Approach in Solving Improper Integrals

Axioms, 2022
To resolve several challenging applications in many scientific domains, general formulas of improper integrals are provided and established for use in this article.
Mohammad Abu-Ghuwaleh, Rania Saadeh, Ahmad Qazza   +2 more
doaj   +1 more source

New Theorems in Solving Families of Improper Integrals

Axioms, 2022
Many improper integrals appear in the classical table of integrals by I. S. Gradshteyn and I. M. Ryzhik. It is a challenge for some researchers to determine the method in which these integrations are formed or solved. In this article, we present some new
Mohammad Abu Ghuwaleh, Rania Saadeh, Aliaa Burqan   +2 more
doaj   +1 more source

The neutrosophic integrals by partial fraction [PDF]

Neutrosophic Sets and Systems, 2022
The purpose of this article is to study the neutrosophic integrals by partial fraction, where the neutrosophic fraction function is defined, in addition, four cases of the neutrosophic proper rational function were discussed, also, integral of the ...
Yaser Ahmad Alhasan
doaj   +1 more source

A Fundamental Criteria to Establish General Formulas of Integrals

Journal of Applied Mathematics, 2022
In this study, new master theorems and general formulas of integrals are presented and implemented to solve some complicated applications in different fields of science.
Rania Saadeh, Mohammad Abu-Ghuwaleh, Ahmad Qazza, Emad Kuffi   +3 more
doaj   +1 more source

General Master Theorems of Integrals with Applications

Mathematics, 2022
Many formulas of improper integrals are shown every day and need to be solved in different areas of science and engineering. Some of them can be solved, and others require approximate solutions or computer software.
Mohammad Abu-Ghuwaleh, Rania Saadeh, Ahmad Qazza   +2 more
doaj   +1 more source

Improper Integrals Involving Powers of Inverse Trigonometric and Hyperbolic Functions

Mathematics, 2022
Three classes of improper integrals involving higher powers of arctanh, arctan, and arcsin are examined using the recursive approach. Numerous explicit formulae are established, which evaluate these integrals in terms of π, ln2, the Riemann zeta function,
Chunli Li, Wenchang Chu
doaj   +1 more source

Adaptive Integration and Improper Integrals [PDF]

Mathematics of Computation, 1975
Let R be the class of all functions that are properly Riemann-integrable on [0, 1], and let IR be the class of all functions that are properly Riemann-integrable on [a, 1] for all a > 0 a > 0 and for which \[ lim a →
openaire   +1 more source