Results 11 to 20 of about 250 (174)
Centered Polygonal Lacunary Sequences [PDF]
Mathematics, 2019 Lacunary functions based on centered polygonal numbers have interesting features which are distinct from general lacunary functions. These features include rotational symmetry of the modulus of the functions and a notion of polished level sets.
Keith Sullivan +2 more
doaj +2 more sources
Strongly Almost Lacunary -Convergent Sequences [PDF]
Abstract and Applied Analysis, 2013 We study some new strongly almost lacunary -convergent generalized difference sequence spaces defined by an Orlicz function. We give also some inclusion relations related to these sequence spaces.
Adem Kılıçman, Stuti Borgohain
doaj +5 more sources
Some Geometric Properties of Sequence Spaces Involving Lacunary Sequence [PDF]
Journal of Inequalities and Applications, 2008 We introduce new sequence space involving lacunary sequence connected with Cesaro sequence space and examine some geometric properties of this space equipped with Luxemburg norm.
Vatan Karakaya
doaj +5 more sources
Generalized Difference Lacunary Weak Convergence of Sequences [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we introduce the concept of generalized difference lacunary weak convergence of sequences. Using the concept of difference operator, we have introduced some new classes of sequences. We investigated several of its algebraic and topological
Bibhajyoti Tamuli, Binod Tripathy
doaj +2 more sources
Operator Ideal of Cesaro Type Sequence Spaces Involving Lacunary Sequence [PDF]
Abstract and Applied Analysis, 2014 The aim of this paper is to give the sufficient conditions on the sequence space Cesθ,p defined in Lim (1977) such that the class of all bounded linear operators between any arbitrary Banach spaces with nth approximation numbers of the bounded linear ...
Awad A. Bakery
doaj +4 more sources
σ-asymptotically lacunary statistical equivalent sequences [PDF]
Central European Journal of Mathematics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Savaş Ekrem, Patterson Richard
openaire +4 more sources
Lacunary I-Convergent Sequences [PDF]
Kyungpook mathematical journal, 2012 Summary: In this article we introduce the concepts of lacunary \(I\)-convergent sequences. We investigate its different properties like solid, symmetric, convergence free etc.
Tripathy, Binod Chandra +2 more
openaire +1 more source
On Asymptotically Lacunary Statistical Equivalent Set Sequences [PDF]
Journal of Mathematics, 2013 This paper presents three definitions which are natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence. In addition, we also present asymptotically equivalent (Wijsman sense) analogs of theorems in Patterson and Savaş (2006).
Uğur Ulusu, Fatih Nuray
openaire +5 more sources
Orlicz arithmetic convergence defined by matrix transformation and lacunary sequence [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2020 In this paper we introduce and study some spaces of Orlicz arithmetic convergence sequences with respect to matrix transformation and lacunary sequence.
Kuldip Raj, Anu Choudhary
doaj +1 more source
Some new sequence spaces defined by lacunary sequences [PDF]
Mathematica Slovaca, 2007 Abstract It is natural to expect that lacunary almost convergence must be related to the some concept of lacunary almost bounded variations in the some view as almost convergence is related to almost bounded variation. The purpose of this paper is to examine this new concept in some details. Some inclusion theorems have been established.
Savaş, Ekrem, Savaş, Ekrem
openaire +6 more sources