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   Articles with "generalized conformable" as a keyword



New Results on Simpson-Type Inequalities for Co-ordinated Convex Function by Generalized Conformable Integrals

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recommendations! Published in 2024 at "Experimental Mathematics"

DOI: 10.1080/10586458.2024.2380760

Abstract: Abstract In this paper, firstly, we prove an identity involving generalized conformable integrals. By using this obtained identity, we establish several Simpson-type inequalities for differentiable co-ordinated convex function by means of generalized conformable fractional integrals.… read more here.

Keywords: simpson type; ordinated convex; generalized conformable; conformable integrals ... See more keywords

Generalized Conformable Mean Value Theorems with Applications to Multivariable Calculus

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recommendations! Published in 2021 at "Journal of Mathematics"

DOI: 10.1155/2021/5528537

Abstract: The conformable derivative and its properties have been recently introduced. In this research work, we propose and prove some new results on the conformable calculus. By using the definitions and results on conformable derivatives of… read more here.

Keywords: generalized conformable; conformable mean; value theorems; multivariable calculus ... See more keywords

New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals

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recommendations! Published in 2024 at "Boundary Value Problems"

DOI: 10.1186/s13661-024-01875-x

Abstract: In the current research, some midpoint-type inequalities are generalized for co-ordinated convex functions with the help of generalized conformable fractional integrals. Moreover, some findings of this paper include results based on Riemann–Liouville fractional integrals and… read more here.

Keywords: ordinated convex; generalized conformable; midpoint type; convex functions ... See more keywords

Integral inequalities for s-convex functions via generalized conformable fractional integral operators

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recommendations! Published in 2020 at "Advances in Difference Equations"

DOI: 10.1186/s13662-020-02671-4

Abstract: We introduce new operators, the so-called left and right generalized conformable fractional integral operators. By using these operators we establish new Hermite–Hadamard inequalities for s-convex functions and products of two s-convex functions in the second… read more here.

Keywords: generalized conformable; convex functions; conformable fractional; integral operators ... See more keywords

On some conformable boundary value problems in the setting of a new generalized conformable fractional derivative

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recommendations! Published in 2023 at "Demonstratio Mathematica"

DOI: 10.1515/dema-2022-0212

Abstract: Abstract The fundamental objective of this article is to investigate about the boundary value problem with the uses of a generalized conformable fractional derivative introduced by Zarikaya et al. (On generalized the conformable calculus, TWMS… read more here.

Keywords: generalized conformable; fractional derivative; boundary value; conformable fractional ... See more keywords