Results 11 to 20 of about 13,449 (192)
Approximating trigonometric functions by using exponential inequalities
Journal of Inequalities and Applications, 2019 In this paper, some exponential inequalities are derived from the inequalities containing trigonometric functions. Numerical examples show that one can achieve much tighter bounds than those of prevailing methods, which are presented by Cusa, Huygens ...
Xiao-Diao Chen, Junyi Ma, Yixin Li
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Padé approximant related to inequalities for Gauss lemniscate functions
Journal of Inequalities and Applications, 2016 Based on the Padé approximation method, we present new inequalities for Gauss lemniscate functions. We also solve a conjecture on inequalities for Gauss lemniscate functions proposed by Sun and Chen.
Juan Liu, Chao-Ping Chen
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Chen–Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifolds
Annales Polonici Mathematici, 2016 Summary: Some examples of slant submanifolds of almost product Riemannian manifolds are presented. The existence of a useful orthonormal basis in proper slant submanifolds of a Riemannian product manifold is proved. The sectional curvature, the Ricci curvature and the scalar curvature of submanifolds of locally product manifolds of almost constant ...
Kilic, Erol +2 more
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New Poisson–Sch type inequalities and their applications in quantum calculus
Journal of Inequalities and Applications, 2018 The Poisson type inequalities, which were improved by Shu, Chen, and Vargas-De-Teón (J. Inequal. Appl. 2017:114, 2017), are generalized by using Poisson identities involving modified Poisson kernel functions with respect to a cone. New generalizations of
Tao Liu, Xinjuan Chen, Yifan Xing
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Mathematics, 2022 The geometry of Hessian manifolds is a fruitful branch of physics, statistics, Kaehlerian and affine differential geometry. The study of inequalities for statistical submanifolds in Hessian manifolds of constant Hessian curvature was truly initiated in ...
Aliya Naaz Siddiqui +2 more
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A New Algebraic Inequality and Some Applications in Submanifold Theory
Mathematics, 2021 We give a simple proof of the Chen inequality involving the Chen invariant δ(k) of submanifolds in Riemannian space forms. We derive Chen’s first inequality and the Chen–Ricci inequality.
Ion Mihai, Radu-Ioan Mihai
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Hybrid Method for Accretive Variational Inequalities Involving Pseudocontraction
Eurasian Journal of Science and Engineering, 2023 We use strongly pseudocontractions to regularise a class of accretive variational inequalities in more general settings, the solutions are sought in the set of fixed points of another pseudocontraction.
Abdulnasir Isah
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δ(2,2)-Invariant for Lagrangian Submanifolds in Quaternionic Space Forms
Mathematics, 2020 In the geometry of submanifolds, Chen inequalities represent one of the most important tool to find relationships between intrinsic and extrinsic invariants; the aim is to find sharp such inequalities. In this paper we establish an optimal inequality for
Gabriel Macsim, Adela Mihai, Ion Mihai
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On the Wilker and Huygens-type inequalities [PDF]
, 2020 Chen and Cheung [3] established sharp Wilker and Huygens-type inequalities. These authors also proposed three conjectures on Wilker and Huygens-type inequalities. In this paper, we consider these conjectures. We also present sharp Wilker and Huygens-type
Paris, Richard B. +3 more
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Chen-Ricci inequalities for Riemannian maps and their applications
, 2022 Riemannian maps between Riemannian manifolds, originally introduced by A.E. Fischer in [Contemp. Math. 132 (1992), 331-366], provide an excellent tool for comparing the geometric structures of the source and target manifolds. Isometric immersions and Riemannian submersions are particular examples of such maps.
Lee, Jae Won +3 more
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