On Fejer Type Inequalities for Convex Mappings Utilizing Fractional Integrals of a Function with Respect to Another Function
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DOI: 10.1007/s00025-019-0960-8
Abstract: In this work, we first establish Hermite–Hadamard–Fejer type inequalities for convex function involving fractional integrals with respect to another function which are generalization of some important fractional integrals such as the Riemann–Liouville fractional integrals and… read more here.
Keywords: type inequalities; inequalities convex; respect another; fractional integrals ... See more keywords
k-fractional integral trapezium-like inequalities through (h,m)$(h,m)$-convex and (α,m)$(\alpha,m)$-convex mappings
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DOI: 10.1186/s13660-017-1586-6
Abstract: In this paper, a new general identity for differentiable mappings via k-fractional integrals is derived. By using the concept of (h,m)$(h,m)$-convexity, (α,m)$(\alpha,m)$-convexity and the obtained equation, some new trapezium-like integral inequalities are established. The results… read more here.
Keywords: like inequalities; integral trapezium; inequalities convex; trapezium like ... See more keywords
Opial-type inequalities for convex functions and associated results in fractional calculus
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DOI: 10.1186/s13662-019-2089-1
Abstract: This paper is dedicated to Opial-type inequalities for arbitrary kernels using convex functions. These inequalities are further applied to a power function. Applications of the presented results are studied in fractional calculus via fractional integral… read more here.
Keywords: fractional calculus; type inequalities; inequalities convex; opial type ... See more keywords
Integral inequalities for s-convex functions via generalized conformable fractional integral operators
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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
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
Sherman, Hermite-Hadamard and Fejer like inequalities for convex sequences and nondecreasing convex functions
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DOI: 10.2298/fil1708321n
Abstract: In this paper, we prove Sherman like inequalities for convex sequences and nondecreasing convex functions. Thus we develop some results by S. Wu and L. Debnath \cite{WD}. In consequence, we derive discrete versions for convex… read more here.
Keywords: like inequalities; convex functions; inequalities convex; convex sequences ... See more keywords
Simpson's and Newton's Type Inequalities for (α, m)-Convex Functions via Quantum Calculus
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DOI: 10.3390/sym14040736
Abstract: In this paper, we give the generalized version of the quantum Simpson’s and quantum Newton’s formula type inequalities via quantum differentiable α,m-convex functions. The main advantage of these new inequalities is that they can be… read more here.
Keywords: quantum; type inequalities; inequalities convex; via quantum ... See more keywords