21 research outputs found

    The fuzzy Henstock鈥揔urzweil delta integral on time scales

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    We investigate properties of the fuzzy Henstock鈥揔urzweil delta integral (shortly, FHK 螖 -integral) on time scales, and obtain two necessary and sufficient conditions for FHK 螖 -integrability. The concept of uniformly FHK 螖 -integrability is introduced. Under this concept, we obtain a uniformly integrability convergence theorem. Finally, we prove monotone and dominated convergence theorems for the FHK 螖 -integral.publishe

    Some inequalities for interval-valued functions on time scales

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    We introduce the interval Darboux delta integral (shortly, the ID螖 -integral) and the interval Riemann delta integral (shortly, the IR 螖 -integral) for interval-valued functions on time scales. Fundamental properties of ID and IR 螖 -integrals and examples are given. Finally, we prove Jensen鈥檚, H枚lder鈥檚 and Minkowski鈥檚 inequalities for the IR 螖 -integral. Also, some examples are given to illustrate our theoremspublishe
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