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
On the $$\mathbb {K}$$K-Riemann integral and Hermite–Hadamard inequalities for $$\mathbb {K}$$K-convex functions
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DOI: 10.1007/s00010-017-0472-0
Abstract: In the present paper we introduce a notion of the $$\mathbb {K}$$K-Riemann integral as a natural generalization of a usual Riemann integral and study its properties. The aim of this paper is to extend the… read more here.
Keywords: mathbb riemann; hermite hadamard; riemann integral; hadamard inequalities ... See more keywords
Another refinement of the right-hand side of the Hermite–Hadamard inequality for simplices
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DOI: 10.1007/s00010-018-0595-y
Abstract: We establish a new refinement of the right-hand side of the Hermite–Hadamard inequality for convex functions of several variables defined on simplices. read more here.
Keywords: side hermite; hand side; right hand; refinement right ... 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 the Generalization of Some Hermite–Hadamard Inequalities for Functions with Convex Absolute Values of the Second Derivatives Via Fractional Integrals
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DOI: 10.1007/s11253-019-01618-7
Abstract: We provide a unified approach to getting Hermite–Hadamard inequalities for functions with convex absolute values of the second derivatives via the Riemann–Liouville integrals. Some particular inequalities generalizing the classical results, such as the trapezoid inequality,… read more here.
Keywords: convex absolute; inequalities functions; absolute values; hadamard inequalities ... See more keywords
On Some Hermite–Hadamard Inequalities for Fractional Integrals and their Applications
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DOI: 10.1007/s11253-020-01793-y
Abstract: UDC 517.5 We establish some new extensions of Hermite\,--\,Hadamard inequality for fractional integrals and present several applications for the Beta function. read more here.
Keywords: inequalities fractional; hadamard inequalities; integrals applications; fractional integrals ... 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
The right Riemann–Liouville fractional Hermite–Hadamard type inequalities derived from Green’s function
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DOI: 10.1063/1.5143908
Abstract: The purpose of this work is to present the right Riemann–Liouville fractional integral version of Hermite–Hadamard inequality via a relatively new method through the Green’s function approach. In the process, some identities are established. Using… read more here.
Keywords: right riemann; green function; liouville fractional; riemann liouville ... See more keywords
Hermite–Hadamard–Fejer type inequalities
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DOI: 10.1080/09720502.2018.1471806
Abstract: Abstract In this paper, we have established the left hand side of the Hermite–Hadamard–Fejer type inequalities for the class of functions whose derivatives in absolute value at certain powers are convex functions by using fractional… read more here.
Keywords: hermite hadamard; type inequalities; fejer type; hadamard fejer ... See more keywords
New Quantum Hermite-Hadamard Inequalities Utilizing Harmonic Convexity of the Functions
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DOI: 10.1109/access.2019.2897680
Abstract: The aim of this paper is to obtain some new Hermite–Hadamard type of inequalities via harmonic convex, strongly harmonic convex, strongly harmonic $\log $ -convex functions, and $AH$ -convex in connection with quantum calculus. All… read more here.
Keywords: hermite hadamard; tex math; inline formula;