Results 71 to 80 of about 6,381 (249)
Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting
In this work, various fractional convex inequalities of the Hermite–Hadamard type in the interval analysis setting have been established, and new inequalities have been derived thereon.
Vuk Stojiljković +3 more
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Hermite-Hadamard Type Inequalities Involving k-Fractional Operator for (h¯, m)-Convex Functions
The principal motivation of this paper is to establish a new integral equality related to k-Riemann Liouville fractional operator. Employing this equality, we present several new inequalities for twice differentiable convex functions that are associated ...
S. Sahoo +5 more
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Fractional Hermite-Hadamard type inequalities for subadditive functions
In this paper, we establish different variants of fractional Hermite-Hadamard inequalities for subadditive functions via Riemann-Liouville fractional integrals. Moreover, we offer some fractional integral inequalities for the product of two subadditive functions via Riemann-Liouville fractional integrals.
Ali, Muhammad Aamir +2 more
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On n-polynomial p-convex functions and some related inequalities
In this paper, we introduce a new class of convex functions, so-called n-polynomial p-convex functions. We discuss some algebraic properties and present Hermite–Hadamard type inequalities for this generalization.
Choonkil Park +4 more
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On Katugampola Fractional Multiplicative Hermite-Hadamard-Type Inequalities
This paper presents a novel framework for Katugampola fractional multiplicative integrals, advancing recent breakthroughs in fractional calculus through a synergistic integration of multiplicative analysis. Motivated by the growing interest in fractional
Wedad Saleh +3 more
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In this article, we establish some new Hermite–Hadamard-type inequalities involving the conformable fractional integrals. As applications, several inequalities for the approximation error in the midpoint formula and certain bivariate means are derived.
Arshad Iqbal, M. Khan, S. Ullah, Y. Chu
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In the article, we present several Hermite–Hadamard type inequalities for the co-ordinated convex and quasi-convex functions and give an application to the product of the moment of two continuous and independent random variables.
M. Latif, S. Rashid, S. Dragomir, Y. Chu
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Jensen-Mercer variant of Hermite-Hadamard type inequalities via Atangana-Baleanu fractional operator
We present new Mercer variants of Hermite-Hadamard (HH) type inequalities via Atangana-Baleanu (AB) fractional integral operators pertaining non-local and non-singular kernels.
Jia-bao Liu +5 more
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Hermite-Hadamard type inequalities for subadditive functions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On some inequality of Hermite-Hadamard type
It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true. Moreover, we introduce some related inequality comparing the methods of the approximate integration, which is optimal.
Szymon Wąsowicz, Alfred Witkowski
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