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Riemann-Stieltjes Integral [PDF]
, 2016 In this article, the definitions and basic properties of Riemann-Stieltjes integral are formalized in Mizar [1]. In the first section, we showed the preliminary definition. We proved also some properties of finite sequences of real numbers. In Sec. 2, we
Nakasho, Kazuhisa +2 more
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Henstock-Kurzweil integral on ${\rm BV}$ sets [PDF]
Mathematica Bohemica, 2016 The generalized Riemann integral of Pfeffer (1991) is defined on all bounded ${\rm BV$ subsets of $\mathbb R^n$, but it is additive only with respect to pairs of disjoint sets whose closures intersect in a set of $\sigma$-finite Hausdorff measure of ...
Jan Malý, Washek F. Pfeffer
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AIMS Mathematics, 2022 We study a coupled system of multi-term Hilfer fractional differential equations of different orders involving non-integral and autonomous type Riemann-Liouville mixed integral nonlinearities supplemented with nonlocal coupled multi-point and Riemann ...
Ahmed Alsaedi +3 more
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On interval Riemann double integration on time scales
Қарағанды университетінің хабаршысы. Математика сериясыThis article explores the theory of Riemann double integration for functions whose values are intervals in the framework of time scale calculus. We define the Riemann double ∆-integral and Riemann double ∇-integral for interval valued functions, namely ...
V. Sekhose, H. Bharali
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AIMS Mathematics, 2021 In this paper Hadamard type inequalities for strongly (α,m)-convex functions via generalized Riemann-Liouville fractional integrals are studied. These inequalities provide generalizations as well as refinements of several well known inequalities.
Ghulam Farid +3 more
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On Balazard, Saias, and Yor's equivalence to the Riemann Hypothesis
, 2013 Balazard, Saias, and Yor proved that the Riemann Hypothesis is equivalent to a certain weighted integral of the logarithm of the Riemann zeta-function along the critical line equaling zero.
Bui, H. M. +2 more
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Holomorphic Quillen determinant line bundles on integral compact Kahler manifolds
, 2012 We show that any compact Kahler manifold with integral Kahler form, parametrizes a natural holomorphic family of Cauchy-Riemann operators on the Riemann sphere such that the Quillen determinant line bundle of this family is isomorphic to a sufficiently ...
Dey, Rukmini, Mathai, Varghese
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European Journal of Personality, EarlyView., 2020 Abstract Personality can be described at different levels of abstraction. Whereas the Big Five domains are the dominant level of analysis, several researchers have called for more fine‐grained approaches, such as facet‐level analysis. Personality facets allow more comprehensive descriptions, more accurate predictions of outcomes, and a better ...
Daniel Danner +4 more
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Abstract and Applied Analysis, 2013 We study the existence and uniqueness of the positive solution for the fractional differential system involving the Riemann-Stieltjes integral boundary conditions , , , , , and , where , , and and are the standard Riemann-Liouville derivatives, and ...
Rui Li, Haoqian Zhang, Hao Tao
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Theta and Riemann xi function representations from harmonic oscillator eigensolutions
, 2006 From eigensolutions of the harmonic oscillator or Kepler-Coulomb Hamiltonian we extend the functional equation for the Riemann zeta function and develop integral representations for the Riemann xi function that is the completed classical zeta function. A
Abramowitz +25 more
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