Some concave functions on Lorentzian manifolds

2021 ◽  
Author(s):  
Reza Mirzaie ◽  
Omid Rezaei
Keyword(s):  
Concave Functions ◽  
Lorentzian Manifolds

On existence result of a class of nonlinear integral equation

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3593-3597
Author(s):  
Ravindra Bisht
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Existence And Uniqueness ◽  
Existence Result ◽  
Nonlinear Integral Equation ◽  
Continuous Functions ◽  
Concave Functions ◽  
Real Numbers ◽  
Fixed Point Techniques ◽  
Uniqueness Of A Solution

Combining the approaches of functionals associated with h-concave functions and fixed point techniques, we study the existence and uniqueness of a solution for a class of nonlinear integral equation: x(t) = g1(t)-g2(t) + ? ?t,0 V1(t,s)h1(s,x(s))ds + ? ?T,0 V2(t,s)h2(s,x(s))ds; where C([0,T];R) denotes the space of all continuous functions on [0,T] equipped with the uniform metric and t?[0,T], ?,? are real numbers, g1, g2 ? C([0, T],R) and V1(t,s), V2(t,s), h1(t,s), h2(t,s) are continuous real-valued functions in [0,T]xR.

scholarly journals Some generalizations of the Hermite–Hadamard integral inequality

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Slavko Simić ◽  
Bandar Bin-Mohsin
Keyword(s):  
Integral Inequality ◽  
Target Function ◽  
Convexity Property ◽  
Concave Functions ◽  
Differentiable Functions

AbstractIn this article we give two possible generalizations of the Hermite–Hadamard integral inequality for the class of twice differentiable functions, where the convexity property of the target function is not assumed in advance. They represent a refinement of this inequality in the case of convex/concave functions with numerous applications.

scholarly journals Quantitative combinatorial geometry for concave functions

2021 ◽  
Vol 182 ◽  
pp. 105465
Author(s):  
Sherry Sarkar ◽  
Alexander Xue ◽  
Pablo Soberón
Keyword(s):  
Combinatorial Geometry ◽  
Concave Functions

Four-dimensional homogeneous Lorentzian manifolds

2013 ◽  
Vol 174 (3) ◽  
pp. 377-402 ◽  
Author(s):  
Giovanni Calvaruso ◽  
Amirhesam Zaeim
Keyword(s):  
Lorentzian Manifolds

Log-Concave Functions And Poset Probabilities

COMBINATORICA ◽  
1998 ◽  
Vol 18 (1) ◽  
pp. 85-99 ◽  
Author(s):  
Jeff Kahn ◽  
Yang Yu
Keyword(s):  
Concave Functions

Some Properties of Generalized Concave Functions

1973 ◽  
Vol 21 (1) ◽  
pp. 305-313 ◽  
Author(s):  
W. A. Thompson ◽  
Darrel W. Parke
Keyword(s):  
Concave Functions

scholarly journals FINITE ACTION KLEIN–GORDON SOLUTIONS ON LORENTZIAN MANIFOLDS

2006 ◽  
Vol 03 (07) ◽  
pp. 1349-1357 ◽  
Author(s):  
V. V. KOZLOV ◽  
I. V. VOLOVICH
Keyword(s):  
Mass Spectrum ◽  
Elliptic Equations ◽  
Gordon Equation ◽  
Infinite Family ◽  
De Sitter ◽  
Lorentzian Manifolds ◽  
Klein Gordon ◽  
Finite Action ◽  
Discrete Mass ◽  
Klein Gordon Equation

The eigenvalue problem for the square integrable solutions is studied usually for elliptic equations. In this paper we consider such a problem for the hyperbolic Klein–Gordon equation on Lorentzian manifolds. The investigation could help to answer the question why elementary particles have a discrete mass spectrum. An infinite family of square integrable solutions for the Klein–Gordon equation on the Friedman type manifolds is constructed. These solutions have a discrete mass spectrum and a finite action. In particular the solutions on de Sitter space are investigated.

A Toponogov splitting theorem for Lorentzian manifolds

1985 ◽  
pp. 1-13 ◽  
Author(s):  
John K. Beem ◽  
Paul E. Ehrlich ◽  
Steen Markvorsen ◽  
Gregory J. Galloway
Keyword(s):  
Splitting Theorem ◽  
Lorentzian Manifolds

scholarly journals A NOTE ON INTEGRAL INEQUALITIES OF HADAMARD TYPE FOR LOG-CONVEX AND LOG-CONCAVE FUNCTIONS

2012 ◽  
Vol 16 (2) ◽  
pp. 479-496 ◽  
Author(s):  
Gou-Sheng Yang ◽  
Kuei-Lin Tseng ◽  
Hung-Ta Wang
Keyword(s):  
Integral Inequalities ◽  
Concave Functions
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