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simpson-type inequalities for conformable fractional operators concerning twice-differentiable functions
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نویسنده
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hezenci fatih ,budak hüseyin
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منبع
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journal of mathematical extension - 2023 - دوره : 17 - شماره : 3 - صفحه:1 -22
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چکیده
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The authors of the paper propose a new method of investigation of an an equality for the case of twice-differentiable convex functions with respect to the conformable fractional integrals. with the help of this equality, we establish several simpson-type inequalities for twice-differentiable convex functions by using conformable fractional integrals. sundry significant inequalities are obtained by taking advantage of the convexity, the h¨older inequality, and the power mean inequality. by using the specific selection of our results, we give several new and well-known results in the literature.
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کلیدواژه
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simpson-type inequality ,fractional conformable integrals ,fractional conformable derivatives ,fractional calculus ,convex function
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آدرس
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duzce university, faculty of science and arts, department of mathematics, turkey, duzce university, faculty of science and arts, department of mathematics, turkey
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پست الکترونیکی
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hsyn.budak@gmail.com
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Authors
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