Search Results - "Zhao, Tiehong"
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Sharp Approximations for Complete p-Elliptic Integral of the Second Kind by Weighted Power Means
Published in Bulletin of the Malaysian Mathematical Sciences Society (01-07-2023)“…In this paper, the well-known double inequality for the complete elliptic integral E ( r ) of the second kind, which gives sharp approximations of E ( r ) by…”
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Geometric Algebra of Singular Ruled Surfaces
Published in Advances in applied Clifford algebras (01-04-2021)“…Singular ruled surface is an interesting research object and is the breakthrough point of exploring new problems. However, because of singularity, it’s…”
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Entropy generation approach with heat and mass transfer in magnetohydrodynamic stagnation point flow of a tangent hyperbolic nanofluid
Published in Applied mathematics and mechanics (01-08-2021)“…This work examines the entropy generation with heat and mass transfer in magnetohydrodynamic (MHD) stagnation point flow across a stretchable surface. The heat…”
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On a degenerate boundary value problem to the two-dimensional self-similar nonlinear wave system
Published in Boundary value problems (05-01-2019)“…This paper focuses on a degenerate boundary value problem arising from the study of the two-dimensional Riemann problem to the nonlinear wave system. In order…”
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5
Generators for the Euclidean Picard modular groups
Published in Transactions of the American Mathematical Society (01-06-2012)“…The goal of this article is to show that five explicitly given transformations, a rotation, two screw Heisenberg rotations, a vertical translation and an…”
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On the absolute monotonicity of generalized elliptic integral of the first kind
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01-10-2023)“…It was proved by Wang et al. (Appl Anal Discrete Math 14:255–271, 2020) that twice derivative of the function x ↦ K ( x ) - log ( 1 + 4 / 1 - x ) is absolutely…”
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Discrete approximation of complete p-elliptic integral of the second kind and its application
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (2024)“…By virtue of the generalized trigonometric function sin p ( θ ) and the generalized π p , Legendre’s complete elliptic integrals are generalized to the…”
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Sharp generalized Seiffert mean bounds for the Toader mean of order 4
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01-07-2021)“…In the article, we present the best possible parameters α , β such that the double inequality S α ( a , b ) < T 4 ( a , b ) < S β ( a , b ) holds for a , b > 0…”
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9
New refinements of Becker-Stark inequality
Published in AIMS mathematics (01-06-2024)“…This paper deals with the well-known Becker-Stark inequality. By using variable replacement from the viewpoint of hypergeometric functions, we provide a new…”
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10
Characteristics of Early Death in Patients With Localized Nasopharyngeal Cancer: A Population-Based SEER Analysis
Published in Frontiers in oncology (10-03-2021)“…Localized nasopharyngeal cancer (NPC) is a highly curable disease, but the prognosis of certain cases is still poor. Distinguishing patients with a poor…”
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11
Optimal bounds for arithmetic-geometric and Toader means in terms of generalized logarithmic mean
Published in Journal of inequalities and applications (2017)“…In this paper, we find the greatest values α 1 , α 2 and the smallest values β 1 , β 2 such that the double inequalities L α 1 ( a , b ) < AG ( a , b ) < L β 1…”
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12
On the Bounds of the Perimeter of an Ellipse
Published in Acta mathematica scientia (01-03-2022)“…In this paper, we present new bounds for the perimeter of an ellipse in terms of harmonic, geometric, arithmetic and quadratic means; these new bounds…”
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13
On the Absolute Monotonicity of the Logarithmic of Gaussian Hypergeometric Function
Published in Bulletin of the Iranian Mathematical Society (01-06-2024)“…It has been shown in Yang and Tian (Acta Math Sci 42B(3):847–864, 2022) that the function x ↦ - d dx log [ ( 1 - x ) p K ( x ) ] is absolutely monotonic on…”
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14
Schur convexity for a class of symmetric functions
Published in Science China. Mathematics (01-02-2010)“…The Schur convexity and concavity of a class of symmetric functions are discussed, and an open problem proposed by Guan in “Some properties of a class of…”
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15
Slant helix of order n and sequence of Darboux developables of principal‐directional curves
Published in Mathematical methods in the applied sciences (30-11-2020)“…In this paper, we consider the sequence of the principal‐directional curves of a curve γ and define the slant helix of order n (n‐SLH) of the curve in…”
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ON THE BOUNDS OF THE PERIMETER OF AN ELLIPSE
Published in 数学物理学报(英文版) (2022)“…In this paper,we present new bounds for the perimeter of an ellipse in terms of harmonic,geometric,arithmetic and quadratic means;these new bounds represent…”
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New construction of fundamental domains for certain Mostow groups
Published in Pacific journal of mathematics (01-09-2012)Get full text
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18
SHARP BOUNDS FOR NEUMAN-SANDOR MEAN IN TERMS OF THE CONVEX COMBINATION OF QUADRATIC AND FIRST SEIFFERT MEANS
Published in Acta mathematica scientia (01-05-2014)“…In this article, we prove that the double inequality αP(a,b)+(1-α)Q(a,b)〈M(a,b)〈βP(a,b)+(1-β)Q(a,b) holds for any a,b 〉 0 with a ≠ b if and only if α≥1/2 and…”
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A lower bound for the beta function
Published 04-05-2023“…We present a new lower bound for Euler's beta function, $B(x,y)$, which states that the inequality \begin{equation*}…”
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Absolutely monotonic functions related to the asymptotic formula for the complete elliptic integral of the first kind
Published 29-05-2024“…Let $\mathcal{K}\left( x\right) $ be the complete elliptic integral of the first kind and \begin{equation*} \mathcal{G}_{p}\left( x\right)…”
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