On the $$\mathbb {K}$$K-Riemann integral and Hermite–Hadamard inequalities for $$\mathbb {K}$$K-convex functions
Sign Up to like & getrecommendations! Published in 2017 at "Aequationes mathematicae"
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
On the Generalization of Some Hermite–Hadamard Inequalities for Functions with Convex Absolute Values of the Second Derivatives Via Fractional Integrals
Sign Up to like & getrecommendations! Published in 2019 at "Ukrainian Mathematical Journal"
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
Sign Up to like & getrecommendations! Published in 2020 at "Ukrainian Mathematical Journal"
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
Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Function Spaces"
DOI: 10.1155/2018/6928130
Abstract: We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s-convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type inequalities. read more here.
Keywords: integrals versions; fractional integrals; versions hermite; conformable fractional ... See more keywords
Fractional Hermite–Hadamard inequalities for (s,m)$(s,m)$-convex or s-concave functions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-018-1829-1
Abstract: In this article, fractional integral is considered. Some new upper bounds of the distance between the middle and left of Hermite–Hadamard type inequalities for fractional integrals are established for (s,m)$(s,m)$-convex or s-concave functions. read more here.
Keywords: convex concave; fractional hermite; hadamard inequalities; hermite hadamard ... See more keywords
Iq-Calculus and Iq-Hermite–Hadamard inequalities for interval-valued functions
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Difference Equations"
DOI: 10.1186/s13662-020-02902-8
Abstract: In this paper, we introduce the Iq-derivative and Iq-integral for interval-valued functions and give their basic properties. As a promotion of q-Hermite–Hadamard inequalities, we also give the Iq-Hermite-Hadamard inequalities for interval-valued functions. At the same time,… read more here.
Keywords: hermite hadamard; interval valued; valued functions; hadamard inequalities ... See more keywords
Some quantum estimates of Hermite-Hadamard inequalities for convex functions
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Applied Analysis and Computation"
DOI: 10.20944/preprints201612.0102.v1
Abstract: In this study, based on a new quantum integral identity, the authors establish some quantum estimates of Hermite-Hadamard type inequalities for convex functions. These results generalize and improve some known results given in literatures. read more here.
Keywords: hermite hadamard; convex functions; hadamard inequalities; estimates hermite ... See more keywords
On New Estimates of q-Hermite-Hadamard Inequalities with Applications in Quantum Calculus
Sign Up to like & getrecommendations! Published in 2023 at "Axioms"
DOI: 10.3390/axioms12010049
Abstract: In this paper, we first establish two quantum integral (q-integral) identities with the help of derivatives and integrals of the quantum types. Then, we prove some new q-midpoint and q-trapezoidal estimates for the newly established… read more here.
Keywords: hadamard inequalities; new estimates; inequalities applications; hermite hadamard ... See more keywords
(p, q)-Hermite-Hadamard Inequalities for Double Integral and (p, q)-Differentiable Convex Functions
Sign Up to like & getrecommendations! Published in 2019 at "Axioms"
DOI: 10.3390/axioms8020068
Abstract: The aim of this paper is to establish some new ( p , q ) -calculus of Hermite–Hadamard inequalities for the double integral and refinements of the Hermite–Hadamard inequality for ( p , q )… read more here.
Keywords: hadamard inequalities; double integral; inequalities double; convex functions ... See more keywords
On the Generalized Hermite-Hadamard Inequalities via the Tempered Fractional Integrals
Sign Up to like & getrecommendations! Published in 2020 at "Symmetry"
DOI: 10.3390/sym12040595
Abstract: Integral inequality plays a critical role in both theoretical and applied mathematics fields. It is clear that inequalities aim to develop different mathematical methods (numerically or analytically) and to dedicate the convergence and stability of… read more here.
Keywords: generalized hermite; tempered fractional; fractional integrals; hadamard inequalities ... See more keywords
Refined Hermite-Hadamard Inequalities and Some Norm Inequalities
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14122522
Abstract: It is well known that the Hermite–Hadamard inequality (called the HH inequality) refines the definition of convexity of function f(x) defined on [a,b] by using the integral of f(x) from a to b. There are… read more here.
Keywords: refined hermite; norm inequalities; hadamard inequalities; inequalities norm ... See more keywords