scholarly journals Simplex Averaging Operators: Quasi-Banach and $$L^p$$-Improving Bounds in Lower Dimensions

2022 ◽  
Vol 32 (3) ◽  
Author(s):  
Alex Iosevich ◽  
Eyvindur Ari Palsson ◽  
Sean R. Sovine
Keyword(s):  
Averaging Operators

Adjoint of generalized Cesáro operators on analytic function spaces

2020 ◽  
Vol 26 (2) ◽  
pp. 185-192
Author(s):  
Sunanda Naik ◽  
Pankaj K. Nath
Keyword(s):  
Analytic Function ◽  
Convolution Operator ◽  
Composition Operators ◽  
Mixed Norm ◽  
Averaging Operators ◽  
Mixed Norm Spaces ◽  
Cesaro Averaging ◽  
Analytic Function Spaces ◽  
Appl Math ◽  
Two Parameter

AbstractIn this article, we define a convolution operator and study its boundedness on mixed-norm spaces. In particular, we obtain a well-known result on the boundedness of composition operators given by Avetisyan and Stević in [K. Avetisyan and S. Stević, The generalized Libera transform is bounded on the Besov mixed-norm, BMOA and VMOA spaces on the unit disc, Appl. Math. Comput. 213 2009, 2, 304–311]. Also we consider the adjoint {\mathcal{A}^{b,c}} for {b>0} of two parameter families of Cesáro averaging operators and prove the boundedness on Besov mixed-norm spaces {B_{\alpha+(c-1)}^{p,q}} for {c>1}.

Averaging operators and real equations of hydromechanics

2010 ◽  
Vol 165 (6) ◽  
pp. 637-653 ◽  
Author(s):  
R. R. Aidagulov ◽  
M. V. Shamolin
Keyword(s):  
Averaging Operators

scholarly journals INDUCED AND LOGARITHMIC DISTANCES WITH MULTI-REGION AGGREGATION OPERATORS

2019 ◽  
Vol 0 (0) ◽  
pp. 1-29 ◽  
Author(s):  
Víctor G. Alfaro-García ◽  
José M. Merigó ◽  
Leobardo Plata-Pérez ◽  
Gerardo G. Alfaro-Calderón ◽  
Anna M. Gil-Lafuente
Keyword(s):  
Distance Measure ◽  
Distance Measures ◽  
Weighted Averaging ◽  
Averaging Operators ◽  
Heterogeneous Information ◽  
Weighting Vector ◽  
Choquet Integrals ◽  
World Information ◽  
Logarithmic Distance ◽  
Region Aggregation

This paper introduces the induced ordered weighted logarithmic averaging IOWLAD and multiregion induced ordered weighted logarithmic averaging MR-IOWLAD operators. The distinctive characteristic of these operators lies in the notion of distance measures combined with the complex reordering mechanism of inducing variables and the properties of the logarithmic averaging operators. The main advantage of MR-IOWLAD operators is their design, which is specifically thought to aid in decision-making when a set of diverse regions with different properties must be considered. Moreover, the induced weighting vector and the distance measure mechanisms of the operator allow for the wider modeling of problems, including heterogeneous information and the complex attitudinal character of experts, when aiming for an ideal scenario. Along with analyzing the main properties of the IOWLAD operators, their families and specific cases, we also introduce some extensions, such as the induced generalized ordered weighted averaging IGOWLAD operator and Choquet integrals. We present the induced Choquet logarithmic distance averaging ICLD operator and the generalized induced Choquet logarithmic distance averaging IGCLD operator. Finally, an illustrative example is proposed, including real-world information retrieved from the United Nations World Statistics for global regions.

MCDM AGGREGATION MODEL USING SITUATIONAL ME-OWA AND ME-OWGA OPERATORS

2006 ◽  
Vol 14 (04) ◽  
pp. 421-443 ◽  
Author(s):  
CHING-HSUE CHENG ◽  
JING-RONG CHANG
Keyword(s):  
Multiple Criteria Decision Making ◽  
Aggregation Operators ◽  
Weighted Averaging ◽  
Maximal Entropy ◽  
Averaging Operators ◽  
Aggregation Model ◽  
Ordered Weighted Averaging ◽  
Proposed Model ◽  
Desalination Technology

OWA (Ordered Weighted Averaging) aggregation operators have been extensively adopted to handle MCDM (multiple criteria decision making) problems. However, additive or multiplicative preferences should be aggregated with feasible operators. To resolve this problem, this study proposes a new MCDM aggregation model, capable of handling situational group MCDM problems based on the ME-OWA (maximal entropy ordered weighted averaging) and ME-OWGA (maximal entropy ordered weighted geometric averaging) operators. The proposed model is also applied not only to evaluate the service quality of airlines but also select the most appropriate desalination technology. The results of previous MCDM methods can be covered with proposed model.

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