Hermite‐Hadamard‐type inequalities for interval‐valued coordinated convex functions involving generalized fractional integrals
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DOI: 10.1002/mma.6712
Abstract: In this paper, we define interval‐valued left‐sided and right‐sided generalized fractional double integrals. We establish inequalities of Hermite‐Hadamard like for coordinated interval‐valued convex functions by applying our newly defined integrals. read more here.
Keywords: generalized fractional; hermite hadamard; type inequalities; hadamard type ... See more keywords
Fejér and Hermite–Hadamard type results for H-invex functions with applications
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DOI: 10.1007/s11117-018-0623-0
Abstract: We investigate the class of H-invex functions including, e.g., the subclasses of convex, c-strongly convex, $$ \varphi $$φ-uniformly convex and superquadratic functions. For H-invex functions we prove Fejér and Hermite–Hadamard type inequalities. We generalize some… read more here.
Keywords: invex functions; hermite hadamard; fej hermite; hadamard type ... See more keywords
On Hermite–Hadamard type inequalities for newly defined generalized quantum integrals
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DOI: 10.1007/s11587-021-00662-5
Abstract: In this paper, we first introduce four new generalized quantum integrals of two variables functions which are called $$T_{q}$$ -integrals. We also give some examples of each of these given integrals. Then we establish corresponding… read more here.
Keywords: quantum integrals; hadamard type; generalized quantum; hermite hadamard ... See more keywords
Optimal general Hermite-Hadamard-type inequalities in a ball and their applications in multidimensional numerical integration
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DOI: 10.1016/j.apnum.2021.07.016
Abstract: Abstract In this paper, we are interested in the problem of approximation of a definite integral over a ball of a given function f in d-dimensional space when, rather than function evaluations, a number of… read more here.
Keywords: type inequalities; general hermite; integration; hadamard type ... See more keywords
Hermite-Hadamard Type Inequalities via Exponentially (p, h)-Convex Functions
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DOI: 10.1109/access.2020.2975628
Abstract: Here we introduce new class of exponentially convex function namely exponentially $(p,h)$ -convex function. We find the Hermite-Hadamard type inequalities via exponentially $(p,h)$ -convex functions. We extend the various familar results. read more here.
Keywords: tex math; type inequalities; inline formula; hadamard type ... See more keywords
On Finite Part Integrals and Hadamard-Type Fractional Derivatives
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DOI: 10.1115/1.4037930
Abstract: This paper is devoted to investigating the relation between Hadamard-type fractional derivatives and finite part integrals in Hadamard sense; that is to say, the Hadamard-type fractional derivative of a given function can be expressed by… read more here.
Keywords: part integrals; hadamard type; fractional derivatives; finite part ... See more keywords
Generalized Hermite-Hadamard type inequalities involving fractional integral operators
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DOI: 10.1186/s13660-017-1444-6
Abstract: In this article, a new general integral identity involving generalized fractional integral operators is established. With the help of this identity new Hermite-Hadamard type inequalities are obtained for functions whose absolute values of derivatives are… read more here.
Keywords: hadamard type; integral operators; fractional integral; hermite hadamard ... See more keywords
Some new Hermite–Hadamard type inequalities for s-convex functions and their applications
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DOI: 10.1186/s13660-019-2151-2
Abstract: In this paper, we establish some new integral inequalities of Hermite–Hadamard type for s-convex functions by using the Holder–Iscan integral inequality. We also compare our new results with the known results and show that the… read more here.
Keywords: new hermite; applications new; hadamard type; convex functions ... See more keywords
A new Hermite–Hadamard type inequality for coordinate convex function
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DOI: 10.1186/s13660-020-02428-3
Abstract: In the article, we establish a new Hermite–Hadamard type inequality for the coordinate convex function by constructing two monotonic sequences. The given result is the generalization and improvement of some previously obtained results. read more here.
Keywords: new hermite; type inequality; hadamard type; coordinate convex ... See more keywords
Some Hermite–Hadamard type inequalities for generalized h-preinvex function via local fractional integrals and their applications
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DOI: 10.1186/s13662-020-02812-9
Abstract: The concept of generalized h-preinvex function on real linear fractal sets $R^{\beta }$ ( $0 < \beta \le 1$ ) is introduced, which extends generalized preinvex, generalized s-preinvex, generalized Godunova–Levin preinvex, and generalized P-preinvex functions.… read more here.
Keywords: preinvex function; local fractional; generalized preinvex; hadamard type ... See more keywords
{Some integral inequalities of Hermite--Hadamard type for $s$-geometrically convex functions
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DOI: 10.18514/mmn.2018.2451
Abstract: In the paper, the authors present some integral inequalities of the Hermite–Hadamard type for s-geometrically convex functions and for the product of two s-geometrically convex functions. 2010 Mathematics Subject Classification: 26D15; 26A51; 26D20; 41A55 read more here.
Keywords: convex functions; hadamard type; integral inequalities; geometrically convex ... See more keywords