Norm Inequalities Involving Upper Bounds for Operators in Orlicz-Taylor Sequence Spaces

2018 ◽  
pp. 329-339
Author(s):  
Atanu Manna
Keyword(s):  
Upper Bounds ◽  
Sequence Spaces ◽  
Norm Inequalities

scholarly journals Basis and regularity properties of ( p , q )-trigonometric functions and the decay of ( p , q )-Fourier coefficients

2018 ◽  
Vol 474 (2210) ◽  
pp. 20170548
Author(s):  
David E. Edmunds ◽  
Houry Melkonian
Keyword(s):  
Lebesgue Space ◽  
Fourier Coefficients ◽  
Upper Bounds ◽  
Sequence Spaces ◽  
Trigonometric Functions ◽  
Fourier Sine ◽  
Regularity Properties

The basis and regularity properties of the generalized trigonometric functions sin p , q and cos p , q are investigated. Upper bounds for the Fourier coefficients of these functions are given. Conditions are obtained under which the functions cos p , q generate a basis of every Lebesgue space L r (0,1) with 1 < r < ∞ ; when q is the conjugate of p , it is sufficient to require that p ∈[ p 1 , p 2 ], where p 1 <2 and p 2 >2 are calculable numbers. A comparison is made of the speed of decay of the Fourier sine coefficients of a function in Lebesgue and Lorentz sequence spaces with that of the corresponding coefficients with respect to the functions sin p , q . These results sharpen previously known ones.

scholarly journals Norm inequalities which yield inclusion for Euler sequence spaces

1995 ◽  
Vol 30 (3-6) ◽  
pp. 383-387 ◽  
Author(s):  
R.N. Mohapatra ◽  
F. Salzmann ◽  
D. Ross
Keyword(s):  
Sequence Spaces ◽  
Norm Inequalities

Estimation of upper bounds of certain matrix operators on Binomial weighted sequence spaces

2020 ◽  
Vol 5 (4) ◽  
pp. 1376-1389
Author(s):  
Taja Yaying ◽  
Bipan Hazarika ◽  
S. A. Mohiuddine ◽  
M. Mursaleen
Keyword(s):  
Upper Bounds ◽  
Sequence Spaces ◽  
Weighted Sequence ◽  
Matrix Operators

Some Rate Sequence Spaces

2012 ◽  
Vol 2 (10) ◽  
pp. 1-5
Author(s):  
B.Sivaraman B.Sivaraman ◽  
◽  
K.Chandrasekhara Rao ◽  
K.Vairamanickam K.Vairamanickam
Keyword(s):  
Sequence Spaces

Extension of the Spatial PDI Model to Three Dimensions

1997 ◽  
Vol 84 (1) ◽  
pp. 176-178
Author(s):  
Frank O'Brien
Keyword(s):  
Population Density ◽  
Dimensional Space ◽  
Finite Lattice ◽  
Three Dimensional ◽  
Upper Bounds ◽  
Three Dimensions ◽  
Lower And Upper Bounds ◽  
Density Index ◽  
Three Dimensional Space

The author's population density index ( PDI) model is extended to three-dimensional distributions. A derived formula is presented that allows for the calculation of the lower and upper bounds of density in three-dimensional space for any finite lattice.

Energy of spherical fuzzy graphs

2020 ◽  
pp. 321-332
Author(s):  
S. Yahya Mohamed ◽  
A. Mohamed Ali
Keyword(s):  
Adjacency Matrix ◽  
Upper Bounds ◽  
Fuzzy Graph ◽  
Lower And Upper Bounds ◽  
Fuzzy Graphs

In this paper, the notion of energy extended to spherical fuzzy graph. The adjacency matrix of a spherical fuzzy graph is defined and we compute the energy of a spherical fuzzy graph as the sum of absolute values of eigenvalues of the adjacency matrix of the spherical fuzzy graph. Also, the lower and upper bounds for the energy of spherical fuzzy graphs are obtained.

Sign in / Sign up

Export Citation Format

Share Document