Results 21 to 30 of about 632,408 (276)

New Generalized Riemann–Liouville Fractional Integral Versions of Hadamard and Fejér–Hadamard Inequalities

Journal of Mathematics, 2022
In this paper, a new class of functions, namely, exponentially α,h−m−p-convex functions is introduced to unify various classes of functions already defined in the subject of convex analysis.
Kamsing Nonlaopon, Ghulam Farid, Ammara Nosheen, Muhammad Yussouf, Ebenezer Bonyah   +4 more
doaj   +1 more source

Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA-h-Convex Functions and Its Subclasses with Applications

Mathematics, 2023
Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad, Ayesha, Yuanheng Wang, Saad Ihsaan Butt   +3 more
doaj   +1 more source

An introduction to non-smooth convex analysis via multiplicative derivative

Journal of Taibah University for Science, 2019
In this study, *-directional derivative and *-subgradient are defined using the multiplicative derivative, making a new contribution to non-Newtonian calculus for use in non-smooth analysis.
Ali Hakan Tor
doaj   +1 more source

Controllability on infinite-dimensional manifolds [PDF]

, 2012
Following the unified approach of A. Kriegl and P.W. Michor (1997) for a treatment of global analysis on a class of locally convex spaces known as convenient, we give a generalization of Rashevsky-Chow's theorem for control systems in regular connected ...
A. Isidori, A. Kriegl, A.A. Agrachev, A.A. Agrachev, A.A. Agrachev, A.A. Agrachev, A.A. Agrachev, A.A. Agrachev, A.J. Krener, A.M. Bloch, C. Carathéodory, C. Lobry, C. Lobry, D.L. Elliot, E. Heintze, E.D. Sontag, F. Bullo, G. Frobenius, H. Hermes, H. Hermes, H. Hermes, H. Hermes, H. Hermes, H. Jarchow, H. Nijmeijer, H. Omori, H. Omori, H.J. Sussmann, H.J. Sussmann, H.J. Sussmann, H.J. Sussmann, H.J. Sussmann, Irina Markina, J. Eells, J. Eells, J. Milnor, M. Kawski, M. Kawski, M. Kawski, M. Kawski, M. Kawski, Mahdi Khajeh Salehani, P. Brunovsky, P.E. Crouch, P.I. Dudnikov, P.K. Rashevsky, R. Hermann, R. Hermann, R. Montgomery, R. Palais, R.-M. Bianchini, R.-M. Bianchini, R.E. Kalman, R.E. Kalman, R.E. Kalman, R.S. Hamilton, R.W. Brockett, S. Yamamuro, V. Jurdjevic, V.G. Boltyanski, V.V. Vagner, W.-L. Chow   +61 more
core   +3 more sources

A class of degenerate elliptic eigenvalue problems

Advances in Nonlinear Analysis, 2013
We consider a general class of eigenvalue problems where the leading elliptic term corresponds to a convex homogeneous energy function that is not necessarily differentiable.
Lucia Marcello, Schuricht Friedemann
doaj   +1 more source

Dual ${M}$ -Convex Variable Subsets Family and Extremum Analysis for the OPF Problem

IEEE Access, 2018
The optimal power flow (OPF) model is a central optimization problem in power system network. In this paper, we propose a novel approach to solve the OPF problem that has a convex objective function and non-convex feasible domain due to the constraints ...
Liulin Yang, Naishan Hang, Zhi Wei
doaj   +1 more source

A Convex Approach to Hydrodynamic Analysis

, 2015
We study stability and input-state analysis of three dimensional (3D) incompressible, viscous flows with invariance in one direction. By taking advantage of this invariance property, we propose a class of Lyapunov and storage functionals.
Ahmadi, Mohamadreza, Papachristodoulou, Antonis, Valmorbida, Giorgio   +2 more
core   +1 more source

Convexity in Real Analysis [PDF]

Real Analysis Exchange, 2011
We treat the classical notion of convexity in the context of hard real analysis. Definitions of the concept are given in terms of defining functions and quadratic forms, and characterizations are provided of different concrete notions of convexity. This analytic notion of convexity is related to more classical geometric ideas.
openaire   +3 more sources

Infrared laser sampling of low volumes combined with shotgun lipidomics reveals lipid markers in palatine tonsil carcinoma

Molecular Oncology, EarlyView.
Nanosecond infrared laser (NIRL) low‐volume sampling combined with shotgun lipidomics uncovers distinct lipidome alterations in oropharyngeal squamous cell carcinoma (OPSCC) of the palatine tonsil. Several lipid species consistently differentiate tumor from healthy tissue, highlighting their potential as diagnostic markers.
Leonard Kerkhoff, Manuela Moritz, Dennis Eggert, Anna Worthmann, Joerg Heeren, Henrike Zech, Till S. Clauditz, Waldemar Wilczak, Hartmut Schlüter, Christian S. Betz, Arne Böttcher, Jan Hahn   +11 more
wiley   +1 more source

Cardinality-constrained structured data-fitting problems

Open Journal of Mathematical Optimization
A memory-efficient solution framework is proposed for the cardinality-constrained structured data-fitting problem. Dual-based atom-identification rules reveal the structure of the optimal primal solution from near-optimal dual solutions, which allows for
Fan, Zhenan, Fang, Huang, Friedlander, Michael P.   +2 more
doaj   +1 more source