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16 results on '"Ifronika"'

2. A Note on Inclusion Properties of Weighted Orlicz Spaces

Author

Masta, Al Azhary, Ifronika, and Taqiyuddin, Muhammad

Subjects
Mathematics - Functional Analysis, 46E30, 46B25, 42B35
Abstract

In this paper we present sufficient and necessary conditions for inclusion relation between two weighted Orlicz spaces which complete the Osan\c{c}liol result in 2014. One of the keys to prove our results is to use the norm of the characteristic functions of the balls in $\mathbb{R}^n$., Comment: 9 pages

Published
2018

4. Generalized H\'{o}lder's Inequality in Orlicz Spaces

Author

Ifronika, Masta, Al Azhary, Nur, Muhammad, and Gunawan, Hendra

Subjects
Mathematics - Functional Analysis, 26D15, 46B25, 46E30
Abstract

Orlicz spaces are generalizations of Lebesgue spaces. The sufficient and necessary conditions for generalized H\"{o}lder's inequality in Lebesgue spaces and in weak Lebesgue spaces are well known. The aim of this paper is to present sufficient and necessary conditions for generalized H\"{o}lder's inequality in Orlicz spaces and in weak Orlicz spaces, which are obtained through estimates for characteristic functions of balls in $\R^n$.

Published
2018

6. Inclusion Properties of Weighted Weak Orlicz Spaces

Author

Masta, Al Azhary, Ifronika, and Taqiyuddin, Muhammad

Subjects
Mathematics - Functional Analysis, 46E30, 46B25, 42B35
Abstract

In this paper we discuss the structure of weighted weak Lebesgue spaces and weighted weak Orlicz spaces on $\mathbb{R}^n$. First, we present sufficient and necessary conditions for inclusion relation between weighted weak Lebesgue spaces. Next, we also obtain similar results on weighted weak Orlicz spaces. One of the keys to prove our results is to use the norm of the characteristic functions of the balls in $\mathbb{R}^n$., Comment: 12 pages

Published
2017

7. Generalized H\'older's inequality on Morrey spaces

Author

Ifronika, Idris, Mochammad, Masta, Al Azhary, and Gunawan, Hendra

Subjects
Mathematics - Analysis of PDEs, Mathematics - Functional Analysis, 26D15, 46B25, 46E30
Abstract

The aim of this paper is to present necessary and sufficient conditions for generalized H\"{o}lder's inequality on generalized Morrey spaces. We also obtain similar results on weak Morrey spaces and on generalized weak Morrey spaces. The necessary and sufficient conditions for the generalized H\"{o}lder's inequality on these spaces are obtained through estimates for characteristic functions of balls in $\mathbb{R}^d$., Comment: 10 pages

Published
2017

8. Von Neumann constant for weak Orlicz spaces and weak Lebesgue spaces.

Author

Ifronika and Gunawan, Hendra

Abstract

In this paper we give some lower bounds of von Neumann-Jordan constant for weak Orlicz spaces and weak Lebesgue spaces. As an application, we prove that the von Neumann-Jordan constant for the weak Lebesgue space wLp tends to 2 as p tends to infinity. Our proof uses the refinement of the positive constant in the triangle inequality in wLp. [ABSTRACT FROM AUTHOR]

Published
2024
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9. Inclusion of mixed Morrey spaces

Author

Muhammad O. I. P. Tarigan, Reinhart Gunadi, Denny Ivanal Hakim, and null Ifronika

Subjects
Algebra and Number Theory, Analysis
Published
2023

15. A Note on Inclusion Properties of Weighted Orlicz Spaces

Author

Muhammad Taqiyuddin, Ifronika, and Al Azhary Masta

Subjects
Mathematics - Functional Analysis, Pure mathematics, FOS: Mathematics, 46E30, 46B25, 42B35, Inclusion relation, Inclusion (mineral), Mathematics, Functional Analysis (math.FA)
Abstract

In this paper we present sufficient and necessary conditions for inclusion relation between two weighted Orlicz spaces which complete the Osan\c{c}liol result in 2014. One of the keys to prove our results is to use the norm of the characteristic functions of the balls in $\mathbb{R}^n$., Comment: 9 pages

Published
2018

16. GENERALIZED HÖLDER'S INEQUALITY IN MORREY SPACES.

Author

Ifronika, Idris, Mochammad, Masta, Al Azhary, and Gunawan, Hendra

Subjects
*MATHEMATICAL equivalence, *HOLDER spaces, *LEBESGUE integral, *MATHEMATICS theorems, *CHARACTERISTIC functions
Abstract

The aim of this paper is to present suficient and necessary conditions for generalized Hülder's inequality in Morrey spaces and generalized Morrey spaces. We also obtain similar results in weak Morrey spaces and generalized weak Morrey spaces. The suficient and necessary conditions for the generalized Hülder's inequality in these spaces are obtained through estimates for characteristic functions of balls in ℝd. [ABSTRACT FROM AUTHOR]

Published
2018

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