The Multiple K-Riemann Integral by Oussama Kabbouch, Mustapha Najmeddine

“…The aim of this paper is to extend the notion of K-Riemann integrability of functions defined over a,b to functions defined over a rectangular box of ℝn. …”
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Hermite–Hadamard and Jensen-Type Inequalities via Riemann Integral Operator for a Generalized Class of Godunova–Levin Functions by Xiaoju Zhang, Khurram Shabbir, Waqar Afzal, He Xiao, Dong Lin

“…We establish Hermite–Hadamard and Jensen-type inequalities via Riemann integral operator.…”
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Problems solving in the integral calculus and the determination of the area under the curve by Juan E. N´apoles Vald´es, Maria Nubia Quevedo

“…The interesting thing about this generalization is that said geometric interpretation is similar to the geometric interpretation of the classical Riemann integral, but not in the xy plane, but in the Ty plane, where T is the kernel of the generalized integral. …”
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The Gauge Integral Theory in HOL4 by Zhiping Shi, Weiqing Gu, Xiaojuan Li, Yong Guan, Shiwei Ye, Jie Zhang, Hongxing Wei

“…The gauge integral is a generalization of the Riemann integral and the Lebesgue integral and applies to a much wider class of functions. …”
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On Fuzzy Improper Integral and Its Application for Fuzzy Partial Differential Equations by ElHassan ElJaoui, Said Melliani

“…We establish some important results about improper fuzzy Riemann integrals; we prove some properties of fuzzy Laplace transforms, which we apply for solving some fuzzy linear partial differential equations of first order, under generalized Hukuhara differentiability.…”
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Milne-type inequalities for third differentiable and h-convex functions by Bouharket Benaissa, Hüseyin Budak

“…Abstract This paper develops a novel Milne inequality for third-differentiable and h-convex functions using Riemann integrals. Furthermore, new Milne inequalities are proposed utilizing a summation parameter p ≥ 1 $p\geq 1$ for s-convexity, convexity, and P-functions class. …”
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The random Wigner distribution of Gaussian stochastic processes with covariance in S0(ℝ2d) by Patrik Wahlberg

“…We prove that if the covariance function belongs to the Feichtinger algebra S0(ℝ2d) then: (i) the Wigner distribution and the ambiguity function of the process exist as finite variance stochastic Riemann integrals, each of which defines a stochastic process on ℝ2d, (ii) these stochastic processes on ℝ2d are Fourier transform pairs in a certain sense, and (iii) Cohen's class, ie convolution of the Wigner process by a deterministic function Φ∈C(ℝ2d), gives a finite variance process, and if Φ∈S0(ℝ2d) then W∗Φ can be expressed multiplicatively in the Fourier domain.…”
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