Search Results - convex functions AND convex progress in convex geometry*

Order preserving and order reversing operators on the class of $L^0$-convex functions in complete random normed modules

Authors: Wu, Mingzhi Guo, Tiexin Long, Long

Subject Terms: Mathematics - Functional Analysis, FOS: Mathematics, 0101 mathematics, 01 natural sciences, Functional Analysis (math.FA)

Access URL: http://arxiv.org/abs/2206.06071

Estimation of Integral Inequalities Using the Generalized Fractional Derivative Operator in the Hilfer Sense

Authors: Thabet Abdeljawad Saima Rashid Kottakkaran Sooppy Nisar et al.

Source: Journal of Mathematics, Vol 2020 (2020)

Subject Terms: Financial economics, Economics, Geometry, Evolutionary biology, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, 01 natural sciences, Operator Inequalities, Convergence Analysis of Iterative Methods for Nonlinear Equations, Fractional Integrals, Convexity, Differentiable function, Convex function, QA1-939, FOS: Mathematics, 0101 mathematics, Biology, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Applied Mathematics, FOS: Clinical medicine, Fractional calculus, Pure mathematics, Applied mathematics, Regular polygon, Fractional Derivatives, Inequality, Function (biology), Modeling and Simulation, Dentistry, Physical Sciences, Medicine, Fractional Calculus, Calculus (dental), Mathematics, Monotonic function

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The distance between convex sets with Minkowski sum structure: application to collision detection.

Authors: Wang, Xiangfeng Zhang, Junping Zhang, Wenxing

Source: Computational Optimization & Applications; Nov2020, Vol. 77 Issue 2, p465-490, 26p

Subject Terms: CONVEX sets, COMPUTATIONAL geometry, DISTANCES, MULTIPLIERS (Mathematical analysis)

Minimizing Convex Functions with Rational Minimizers.

Authors: JIANG, HAOTIAN

Source: Journal of the ACM; Feb2023, Vol. 70 Issue 1, p1-27, 27p

Subject Terms: SUBMODULAR functions, CONVEX functions, POLYNOMIAL time algorithms, RIESZ spaces, LATTICE theory, CONVEX geometry

Acceleration by Stepsize Hedging: Multi-Step Descent and the Silver Stepsize Schedule.

Authors: Altschuler, Jason M. Parrilo, Pablo A.

Source: Journal of the ACM; Apr2025, Vol. 72 Issue 2, p1-38, 38p

Subject Terms: OPTIMIZATION algorithms, PHASE transitions, CONVEX functions, CONVEX sets, GLUE

A General-Purpose Multi-Dimensional Convex Landscape Generator.

Authors: Liu, Wenwen Yuen, Shiu Yin Chung, Kwok Wai et al.

Source: Mathematics (2227-7390); Nov2022, Vol. 10 Issue 21, p3974, 14p

Subject Terms: CONVEX functions, CODE generators, EVOLUTIONARY algorithms, COMPUTATIONAL geometry, CONVEX sets, POLYGONS

SWITCHING-CONTROLLED INVARIANCE OF POLYTOPIC SETS FOR SWITCHED AFFINE SYSTEMS WITH DWELL TIME.

Authors: CINTO, FELIPE VALLARELLA, ALEXIS J. RUSSO, ANTONIO et al.

Source: SIAM Journal on Control & Optimization; 2025, Vol. 63 Issue 5, p3167-3188, 22p

Subject Terms: POLYTOPES, CONTROL theory (Engineering), TRAJECTORIES (Mechanics), PIECEWISE affine systems, CONVEX functions, CONVEX sets

Progress in the Preparation and Characterization of Convex Blazed Gratings for Hyper-Spectral Imaging Spectrometer: A Review.

Authors: Li, Huang Peng, Xiaoqiang Guan, Chaoliang et al.

Source: Micromachines; Oct2022, Vol. 13 Issue 10, p1689-N.PAG, 20p

Subject Terms: PROCESS capability, SPECTROMETERS, HOLOGRAPHIC gratings, CONVEX functions, MANUFACTURING processes, SPECTRAL imaging, OPTICS, INDUSTRIAL diamonds

A geometric approach to second-order differentiability of convex functions.

Authors: Azagra, Daniel Cappello, Anthony Hajłasz, Piotr

Source: Proceedings of the American Mathematical Society, Series B; 10/30/2023, Vol. 10, p382-397, 16p

Subject Terms: GEOMETRIC approach, CONVEX bodies

A Local Nearly Linearly Convergent First-Order Method for Nonsmooth Functions with Quadratic Growth.

Authors: Davis, Damek Jiang, Liwei

Source: Foundations of Computational Mathematics; Jun2025, Vol. 25 Issue 3, p943-1024, 82p

Subject Terms: SUBGRADIENT methods, CONVEX functions, ALGORITHMS

Bounds of some divergence measures using Green's function and Fink's identity via Diamond Integrals.

Authors: Bilal, Muhammad Ali Khan, Khuram Nosheen, Ammara et al.

Source: Journal of Applied Analysis; Jun2025, Vol. 31 Issue 1, p55-68, 14p

Subject Terms: GREEN'S functions, LARGE deviation theory, CHANNEL coding, GENERALIZED integrals, CONVEX functions

On the Douglas–Rachford Algorithm for Solving Possibly Inconsistent Optimization Problems.

Authors: Bauschke, Heinz H. Moursi, Walaa M.

Source: Mathematics of Operations Research; Feb2024, Vol. 49 Issue 1, p58-77, 20p

Subject Terms: CONVEX functions, ALGORITHMS, GEOMETRY, RESEARCH grants

Geographic Terms: CANADA

The persistence of full dimensional invariant tori in parameterized Hamiltonian lattice systems.

Authors: Du, Jiayin Tong, Zhicheng Li, Yong

Source: Nonlinearity; Jul2025, Vol. 38 Issue 7, p1-34, 34p

Subject Terms: HAMILTONIAN systems, INVARIANT manifolds, DISTRIBUTED parameter systems, FREQUENCIES of oscillating systems, MATHEMATICAL proofs, CONVEX functions, LATTICE theory, SPECTRAL theory

Definition of Triangular Norms and Triangular Conorms on Subfamilies of Type-2 Fuzzy Sets.

Authors: Hernández-Varela, Pablo Talavera, Francisco Javier Cubillo, Susana et al.

Source: Axioms (2075-1680); Jan2025, Vol. 14 Issue 1, p27, 20p

Subject Terms: TRIANGULAR norms, CONVEX functions, SET functions, OPERATOR functions, FUZZY systems

POLYCD: OPTIMIZATION VIA CYCLING THROUGH THE VERTICES OF A POLYTOPE.

Authors: MAZUMDER, RAHUL HAOYUE WANG

Source: SIAM Journal on Optimization; 2024, Vol. 34 Issue 4, p3534-3563, 30p

Subject Terms: PROBABILITY density function, CONVEX functions, LOGISTIC regression analysis, SMOOTHNESS of functions, POLYHEDRA

Convexity of Sets and Quadratic Functions on the Hyperbolic Space.

Authors: Ferreira, Orizon P. Németh, Sándor Z. Zhu, Jinzhen

Source: Journal of Optimization Theory & Applications; Jul2024, Vol. 202 Issue 1, p421-455, 35p

Subject Terms: HYPERBOLIC spaces, HYPERBOLIC functions, FUNCTION spaces, SET functions, CONVEX sets, CONVEXITY spaces

Spectral projected gradient method for conic optimization in kinematic limit analysis.

Authors: Pospíšil, Lukáš Sysala, Stanislav Čermák, Martin

Source: AIP Conference Proceedings; 2023, Vol. 2849 Issue 1, p1-4, 4p

Subject Terms: BENCHMARK problems (Computer science), CONVEX functions, CONVEX sets, CONIC sections

Metrics and Isometries for Convex Functions.

Authors: Li, Ben Mussnig, Fabian

Source: IMRN: International Mathematics Research Notices; Sep2022, Vol. 2022 Issue 18, p14496-14563, 68p

Subject Terms: CONVEX functions, METRIC spaces, HAUSDORFF spaces

Minkowski Inequality in Cartan–Hadamard Manifolds.

Authors: Ghomi, Mohammad Spruck, Joel

Source: IMRN: International Mathematics Research Notices; Oct2023, Vol. 2023 Issue 20, p17892-17910, 19p

Subject Terms: ISOPERIMETRIC inequalities, CONVEX surfaces, CONVEX functions, CURVATURE, SURFACE area

Approximating Nonlinear Functions With Latent Boundaries in Low-Rank Excitatory-Inhibitory Spiking Networks.

Authors: Podlaski, William F. Machens, Christian K.

Source: Neural Computation; May2024, Vol. 36 Issue 5, p803-857, 55p

Subject Terms: NONLINEAR functions, FEEDFORWARD neural networks, RECURRENT neural networks, INTERNEURONS, CONVEX functions, NEURAL circuitry