Results 31 to 40 of about 130,230 (316)
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, 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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, 2015 Using the notion of the truncated variation we obtain a new theorem on the existence and estimation of the Riemann-Stieltjes integral. As a special case of this theorem we obtain an improved version of the Lo\'{e}ve-Young inequality for the Riemann ...
Łochowski, Rafał M.
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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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The Lebesgue integral as a Riemann integral
International Journal of Mathematics and Mathematical Sciences, 1987 The object of this paper is to develop a very direct theory of the Lebesgue integral that is easily accessible to any audience familiar with the Riemann integral.
Enrique A. Gonzalez-Velasco
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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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Active Force Dynamics in Red Blood Cells Under Non‐Invasive Optical Tweezers
Advanced Science, EarlyView.A non‐invasive method combines low‐power optical tweezers with high‐speed microscopy to simultaneously monitor local membrane forces and displacements in single human red blood cells. This dual‐channel approach reveals a mechano‐dynamic signature that correlates the cell's metabolic state with its mechanical activity. This energetic framework serves as
Arnau Dorn +5 more
wiley +1 more source
A comprehensive review of Grüss-type fractional integral inequality
AIMS MathematicsA survey of results on Grüss-type inequalities associated with a variety of fractional integral and differential operators is presented. The fractional differential operators includes, Riemann-Liouville fractional integral operators, Riemann-Liouville ...
Muhammad Tariq +5 more
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LOCALLY DAN GLOBALLY SMALL RIEMANN SUMS FUNGSI TERINTEGRAL HENSTOCK-DUNFORD PADA [a,b] [PDF]
, 2013 Perluasan integral Dunford ke dalam integral tipe Riemann (Henstock) memberikan definisi integral baru, yaitu integral Henstock-Dunford. Pada makalah ini penulis mengkaji sifat-sifat lebih lanjut dari integral Henstock-Dunford pada [a,b], yaitu beberapa ...
Siti , Khabibah +2 more
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