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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.24 No.3
- 발행연도
- 2019.1
- 수록면
- 511 - 531 (21page)
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This work is devoted to study some Ostrowski type inequalities for generalized Hukukara differentiable interval valued functions. Mean valued theorem for gH-differentiable interval valued functions is also derived. Established results generalize some pioneer results in the existing state-of-art. Moreover, error estimations to quadrature rule of Riemann type, Simpson type and Trapezoidal type are obtained for interval valued functions by the application of one of the derived inequality. In addition an illustrative example is also furnished which demonstrates the viability of the hypothesis of one of our results.
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참고문헌 (25)
참고문헌 신청
A. Flores-Franuliˇc / 2013 / Ostrowski type inequality for interval-valued functions / 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), IEEE :1459~1462
B. Bede / 2005 / Generalizations of the differentiability of fuzzy number valued functions with applications to fuzzy differential equation / Fuzzy Sets Syst 151:581~599
D. Singh / 2016 / KKT optimality conditions in interval valued multiobjective programming with generalized differentiable functions / European J. Oper. Res 254:29~39
D. Singh / 2019 / Sufficiency and duality in non smooth interval valued programming problems / J. Indust. Manag. optim 15:647~665
G. A. Anastassiou / 2003 / Fuzzy Ostrowski type inequalities / Comput. Appl. Math 22:279~292
B. Bede / 2005 / Generalizations of the differentiability of fuzzy number valued functions with applications to fuzzy differential equation / Fuzzy Sets Syst 151:581~599
D. Singh / 2016 / KKT optimality conditions in interval valued multiobjective programming with generalized differentiable functions / European J. Oper. Res 254:29~39
D. Singh / 2019 / Sufficiency and duality in non smooth interval valued programming problems / J. Indust. Manag. optim 15:647~665
G. A. Anastassiou / 2003 / Fuzzy Ostrowski type inequalities / Comput. Appl. Math 22:279~292
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