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New inequalities for generalized m-convex functions via generalized fractional integral operators and their applications
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نویسنده
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kashuri artion ,ali muhammad aamir ,abbas mujahid ,budak huseyin
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منبع
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international journal of nonlinear analysis and applications - 2019 - دوره : 10 - شماره : 2 - صفحه:275 -299
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چکیده
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In the present work, we prove a parametrized identity for a dierentiable function via generalized integral operators. by applying the established identity and the new so-called generalized m-convex function, some generalized trapezium, ostrowski and simpson type integral inequalities have been discovered. various special cases have been studied as well. some applications of the present results to special means and new error estimates for the trapezium and midpoint quadrature formula have been investigated. it is hoped that the methods and techniques of this paper could further stimulate the research conducted in the field of integral inequalities.
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کلیدواژه
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Trapezium inequality ,Ostrowski inequality ,Simpson inequality ,convexity ,general fractional integrals
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آدرس
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university ismail qemali, faculty of technical science, department of mathematics, Albania, nanjing normal university, school of mathematical sciences, China, government college university, department of mathematics, Pakistan. university of pretoria, department of mathematics and applied mathematics, South Africa, duzce university, faculty of science and arts, department of mathematics, Turkey
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Authors
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