TY  - THES
N1  - Burhanuddin Latif, M.Si.
ID  - digilib79593
UR  - https://digilib.uin-suka.ac.id/id/eprint/79593/
A1  - Muhamad Riananda Fadhilah, NIM.: 22104040060
Y1  - 2026/08/19/
N2  - This study investigates the preservation of semi-analytic structure under parameterized integral operators. The study aims to analyze the relationship between kernel regularity and transformed-function properties, the measurability and integrability of transformed functions, and sufficient conditions that guarantee the preservation of semi-analytic structure. This pure mathematical study employs a literature-based and deductive approach grounded in measure theory, Lebesgue integration, function regularity, and semi-analytic function theory. The results show that the measurability of the kernel and input function, together with appropriate integrability conditions, ensures that the transformed function is measurable and integrable. Furthermore, kernel regularity with respect to output variables and parameters, together with suitable domination conditions on its derivatives, guarantees the continuity, differentiability, and real analyticity of the transformed function. In particular, the estimate
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PB  - UIN SUNAN KALIJAGA YOGYAKARTA
KW  - Operator Integral Berparameter
KW  -  Fungsi Semi-Analitik
KW  -  Kernel
KW  -  Integral Lebesgue
KW  -  Analitisitas
KW  -  Preservasi Struktur
M1  - skripsi
TI  - PRESERVASI STRUKTUR SEMI-ANALITIK DI BAWAH OPERATOR INTEGRAL BERPARAMETER
AV  - restricted
EP  - 200
ER  -