Results 31 to 40 of about 49,660 (224)

On the variable exponential fractional Sobolev space W^s(·),p(·)

AIMS Mathematics, 2020
In this paper a new kind of variable exponential fractional Sobolev spaces is introduced. For this kind of spaces, some basic properties, such as separability, reflexivity, strict convexity and denseness, are established.
Haikun Liu, Yongqiang Fu
doaj   +1 more source

Exponential convexity of Petrović and related functional [PDF]

Journal of Inequalities and Applications, 2011
We consider functionals due to the difference in Petrović and related inequalities and prove the log-convexity and exponential convexity of these functionals by using different families of functions. We construct positive semi-definite matrices generated by these functionals and give some related results. At the end, we give some examples.
Saad Ihsan Butt, Josip ‎Pečarić, Atiq Ur Rehman   +2 more
openaire   +1 more source

Generalization of Jensen's and Jensen-Steffensen's inequalities and their converses by Lidstone's polynomial and majorization theorem

Journal of Numerical Analysis and Approximation Theory, 2017
In this paper, using majorization theorems and Lidstone's interpolating polynomials we obtain results concerning Jensen's and Jensen-Steffensen's inequalities and their converses in both the integral and the discrete case.
Gorana Aras-Gazic, Josip Pecaric, Ana Vukelic   +2 more
doaj   +2 more sources

Hermite–Hadamard Type Inequalities via Generalized Harmonic Exponential Convexity and Applications

Journal of Function Spaces, 2021
In this work, we introduce the idea and concept of m–polynomial p–harmonic exponential type convex functions. In addition, we elaborate the newly introduced idea by examples and some interesting algebraic properties.
Saad Ihsan Butt, Muhammad Tariq, Adnan Aslam, Hijaz Ahmad, Taher A. Nofal   +4 more
doaj   +1 more source

A convexity property of expectations under exponential weights [PDF]

, 2007
Take a random variable X with some finite exponential moments. Define an exponentially weighted expectation by E^t(f) = E(e^{tX}f)/E(e^{tX}) for admissible values of the parameter t.
Balazs, Marton, Seppalainen, Timo
core   +1 more source

Carleman estimates and absence of embedded eigenvalues

, 2005
Let L be a Schroedinger operator with potential W in L^{(n+1)/2}. We prove that there is no embedded eigenvalue. The main tool is an Lp Carleman type estimate, which builds on delicate dispersive estimates established in a previous paper.
A. Soffer, A.D. Ionescu, C.D. Sogge, C.E. Kenig, D. Tataru, Daniel Tataru, H. Koch, H. Koch, H. Koch, Herbert Koch, J. Neumann von, R. Froese, R. Froese   +12 more
core   +1 more source

Reconciling taxonomy and phylogenetic inference: formalism and algorithms for describing discord and inferring taxonomic roots [PDF]

, 2011
Although taxonomy is often used informally to evaluate the results of phylogenetic inference and find the root of phylogenetic trees, algorithmic methods to do so are lacking.
A Stamatakis, Aaron Gallagher, D Dalevi, D McDonald, E Bachoore, Frederick A Matsen, HL Bodlaender, J Hein, M Price, O Ponta, R Tatusov, S Moran, S Moran, VB Yap   +13 more
core   +5 more sources

Spatiotemporal Plasma–Mediated Laser Fabrication of Ultrahigh‐Aspect‐Ratio Nanochannel Arrays for Vertical Perovskite Nanowire Semiconductor Devices

Advanced Functional Materials, EarlyView.
A spatiotemporal plasma–mediated laser processing approach is developed to fabricate ultrahigh–aspect ratio nanochannel arrays and corresponding perovskite nanowire arrays within transparent materials for optoelectronics devices. The laser‐fabricated nanochannels serve as templates for controlled perovskite infiltration and crystallization, enabling ...
Taijin Wang, Lingfeng Wang, Feng Liu, Gary J. Cheng   +3 more
wiley   +1 more source

On inequalities of Hermite-Hadamard type via n-polynomial exponential type s-convex functions

AIMS Mathematics, 2022
In this paper, a new class of Hermite-Hadamard type integral inequalities using a strong type of convexity, known as n-polynomial exponential type s-convex function, is studied.
Muhammad Samraiz , Kanwal Saeed , Saima Naheed, Gauhar Rahman, Kamsing Nonlaopon   +4 more
doaj   +1 more source

Extended Formulations in Mixed-integer Convex Programming

, 2016
We present a unifying framework for generating extended formulations for the polyhedral outer approximations used in algorithms for mixed-integer convex programming (MICP).
A Ahmadi, A Ben-Tal, H Hijazi, I Harjunkoski, K Abhishek, L Hien, M Grant, M Lubin, M Tawarmalani, MS Lobo, N Goldberg, O Günlük, OK Gupta, P Belotti, P Bonami, P Bonami, R Fletcher, RH Byrd, S Drewes, T Achterberg   +19 more
core   +1 more source