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Sahand Communications in Mathematical Analysis، جلد ۲۰، شماره ۴، صفحات ۱۹۱-۲۰۳
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| عنوان فارسی |
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| چکیده فارسی مقاله |
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| کلیدواژه‌های فارسی مقاله |
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| عنوان انگلیسی |
Generalized Ostrowski-Gruss Like Inequality on Time Scales |
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| چکیده انگلیسی مقاله |
In this paper, we present a generalization of the Montgomery Identity to various time scale versions, including the discrete case, continuous case, and the case of quantum calculus. By obtaining this generalization of Montgomery Identity we establish results about the generalization of Ostrowski-Gr"{u}ss like inequality to the several time scales, namely discrete case, continuous case and the case of quantum calculus. Additionally, we recapture several published results from different authors in various papers, thus unifying the corresponding discrete and continuous versions. Furthermore, we demonstrate the applicability of our derived consequence to the case of quantum calculus. |
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| کلیدواژه‌های انگلیسی مقاله |
Ostrowski inequality,
Gruss inequality,
Ostrowski-Gruss inequality,
Time scales,
Quantum calculus |
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| نویسندگان مقاله |
Faraz Mehmood |
Dawood UniDepartment of Mathematics, Samarkand State University, University boulevard 15, Samarkand 140104, Uzbekistan and
Department of Mathematics, Dawood University of Engineering.
Asif Raza Khan |
Department of Mathematics, University of Karachi, University Road, Karachi-75270 Pakistan.
Muhammad Awais Shaikh |
Nabi Bagh Z. M. Govt. Science College, Saddar, Karachi-75270, Pakistan.
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| نشانی اینترنتی |
https://scma.maragheh.ac.ir/article_706709_f1de86517a5ad6ece0d4847e73234e37.pdf |
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| زبان مقاله منتشر شده |
en |
| موضوعات مقاله منتشر شده |
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