23 citations · 62 across the 19 of their papers we have counts for
23 papers
Boundedness of the Hardy-Littlewood Maximal Operator, Fractional Integral Operators, and Calderon-Zygmund Operators on Generalized Weighted Morrey Spaces
Yusuf Ramadana, Hendra Gunawan
In this paper we investigate the boundedness of classical operators, namely the Hardy-Littlewood maximal operator, fractional integral operators, and Calderon-Zygmund operators, on…
Some generalized geometric constants for discrete Morrey spaces
Hairur Rahman, Hendra Gunawan
In this paper, we calculate four geometric constants for discrete Morrey spaces. The constants are generalized von Neumann-Jordan constant, modified von Neumann-Jordan constant, vo…
Generalized Von Neumann-Jordan Constant for Morrey Spaces and Small Morrey Spaces
Hairur Rahman, Hendra Gunawan
In this paper we calculate some geometric constants for Morrey spaces and small Morrey spaces, namely generalized Von Neumann-Jordan constant, modified Von Neumann-Jordan constants…
On geometric properties of Morrey spaces
Hendra Gunawan, Denny I. Hakim, Arini S. Putri
In this article, we show constructively that Morrey spaces are not uniformly non- for any . This result is sharper than those previously obtained in \cite{GKSS, M…
On generalized Hölder's inequality in weak Morrey Spaces
Asyraf Wajih, Hendra Gunawan
In this note we reprove generalized Hölder's inequality in weak Morrey spaces. In particular, we get sharper bounds than those in \cite{gunawan2}. The bounds are obtained through t…
On geometric constants for (small) Morrey spaces
Aqfil Mu'tazili, Hendra Gunawan
In this article, we compute Von Neumann-Jordan constant, James constant, and Dunkl-Williams constant for small Morrey spaces. Our approach can also be seen as an alternative way in…
A Revisit to n-Normed Spaces through Its Quotient Spaces
Harmanus Batkunde, Hendra Gunawan
In this paper, we study some features of n-normed spaces with respect to norms of its quotient spaces. We define continuous functions with respect to the norms of its quotient spac…
Inclusion between generalized Stummel classes and other function spaces
Nicky K. Tumalun, Denny I. Hakim, Hendra Gunawan
We refine the definition of generalized Stummel classes and study inclusion properties of these classes. We also study the inclusion relation between Stummel classes and other func…
On the topology of n-normed spaces with respect to norms of its quotient spaces
Harmanus Batkunde, Hendra Gunawan
In this paper, we study some topological characteristics of the n-normed spaces. We observe convergence sequences, closed sets, and bounded sets in the n-normed spaces using norms…
Three geometric constants for Morrey spaces
Hendra Gunawan, Eder Kikianty, Yoshihiro Sawano +1
In this paper we calculate three geometric constants, namely the von Neumann-Jordan constant, the James constant, and the Dunkl-Williams constant, for Morrey spaces and discrete Mo…
Generalized Hölder's Inequality in Orlicz Spaces
Ifronika, Al Azhary Masta, Muhammad Nur +1
Orlicz spaces are generalizations of Lebesgue spaces. The sufficient and necessary conditions for generalized Hölder's inequality in Lebesgue spaces and in weak Lebesgue spaces are…
A Note on -Angle between Two Subspaces in a Normed Space
Muhammad Nur, Hendra Gunawan
We introduce a new -norm on a normed space using a semi-inner product on the space. Using the -norm, we propose a formula for the -angle between -dimensional subspa…
Hardy-type and Heisenberg's inequality in Morrey spaces
Hendra Gunawan, Denny Ivanal Hakim, Eiichi Nakai +1
We use the Morrey norm estimate for the imaginary power of the Laplacian to prove an interpolation inequality for the fractional power of the Laplacian on Morrey spaces. We then pr…
The Hardy-Littlewood Maximal Operator on Discrete Morrey Spaces
Hendra Gunawan, Christopher Schwanke
We discuss the Hardy-Littlewood maximal operator on discrete Morrey spaces of arbitrary dimension. In particular, we obtain its boundedness on the discrete Morrey spaces using a di…
A formula for the -angle between two subspaces of a normed space
Muhammad Nur, Hendra Gunawan, Oki Neswan
We develop the notion of -angle between two subspaces of a normed space. In particular, we discuss the -angle between a -dimensional subspace and a -dimensional subspac…
Generalized Hölder's inequality on Morrey spaces
Ifronika, Mochammad Idris, Al Azhary Masta +1
The aim of this paper is to present necessary and sufficient conditions for generalized Hölder's inequality on generalized Morrey spaces. We also obtain similar results on weak Mor…
Norm estimates for Bessel-Riesz operators on generalized Morrey spaces
Mochammad Idris, Hendra Gunawan, Eridani
We revisit the properties of Bessel-Riesz operators and refine the proof of the boundedness of these operators on generalized Morrey spaces using Young's inequality. We also obtain…
On Inclusion Properties of Two Versions of Orlicz-Morrey Spaces
Al A. Masta, Hendra Gunawan, Wono Setya-Budhi
There are two versions of Orlicz-Morrey spaces (on ), defined by Nakai in 2004 and by Sawano, Sugano, and Tanaka in 2012. In this paper we discuss the inclusion prope…
Proper inclusions of Morrey spaces
Hendra Gunawan, Denny I. Hakim, Mochammad Idris
In this paper, we prove that the inclusions between Morrey spaces, between weak Morrey spaces, and between a Morrey space and a weak Morrey space are all proper. The proper inclusi…
Inclusion properties of Orlicz and weak Orlicz spaces
Al Azhary Masta, Hendra Gunawan, Wono Setya Budhi
In this paper we discuss the structure of Orlicz spaces and weak Orlicz spaces on . We obtain some necessary and sufficient conditions for the inclusion property of t…
The boundedness of Bessel-Riesz operators on generalized Morrey spaces
M. Idris, H. Gunawan, Eridani
In this paper, we prove the boundedness of Bessel-Riesz operators on generalized Morrey spaces. The proof uses the usual dyadic decomposition, a Hedberg-type inequality for the ope…
Discrete Morrey spaces and their generalizations
Hendra Gunawan, Eder Kikianty, Christopher Schwanke
We discuss discrete Morrey spaces and their generalizations, and we prove necessary and sufficient conditions for the inclusion property among these spaces through an estimate for…
Design of Intelligent Agents Based System for Commodity Market Simulation with JADE
R. Refianti, A. B. Mutiara, H. Gunawan
A market of potato commodity for industry scale usage is engaging several types of actors. They are farmers, middlemen, and industries. A multi-agent system has been built to simul…