Results 81 to 90 of about 147 (123)
, 2021 In this paper, we produce a novel framework of a subclass ofconvex functions that is exponentially convex functions. Moreover, it isobserved that the new concept helps to build new inequalities of Petrovi´c’stype by employing exponentially ...
Wasim Iqbal; COMSATS University Islamabad, Islamabad +2 more
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On Fejér-type inequalities for generalized trigonometrically and hyperbolic k-convex functions
Demonstratio MathematicaFor μ∈C1(I)\mu \in {C}^{1}\left(I), μ>0\mu \gt 0, and λ∈C(I)\lambda \in C\left(I), where II is an open interval of R{\mathbb{R}}, we consider the set of functions f∈C2(I)f\in {C}^{2}\left(I) satisfying the second-order differential inequality ddtμdfdt+λf≥
Dragomir Silvestru Sever +2 more
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Inequalities via s−convexity and log −convexity
Topological Algebra and its Applications, 2017 In this paper, we obtain some new inequalities for functions whose second derivatives’ absolute value is s−convex and log −convex. Also, we give some applications for numerical integration.
Akdemir Ahmet Ocak +2 more
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Ostrowski Type Inequalities Via ψ − (α, β, γ, δ)−Convex Function [PDF]
In this paper, we are introducing very first time the class of ψ − (α, β, γ, δ)−convex function in mixed kind, which is the generalization of many classes of convex functions. We would like to state well-known Ostrowski inequality via Montgomery identity
HASSAN, Ali, KHAN, Asif R.
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On (α, m)-(β, F)-convex functions and related inequalities
Open MathematicsIn this paper, the authors first elaborate on the concept of (α, m)-(β, F)-convex functions, as a unification of (α, m)-convex and F-convex functions, then establish a series of integral inequalities of the Hermite–Hadamard type for (α, m)-(β, F)-convex ...
Wang Yan, Liu Xi-Min, Xi Bo-Yan, Qi Feng
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, 2021 Soft set theory is considered as the preeminent tool to tacklethe problems involving vagueness by controlling all complexities of optimizationtheory, fuzzy set theory and interval theory.
Atiqe Ur Rahman; Department of Mathematics, University of Management and Technology, Lahore, +2 more
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On Simpson-like Type Integral Inequalities for Differentiable Preinvex Functions
, 2013 In this article, we establish some estimates of Simpson-like type integral inequalities for functions whose first derivatives in absolute value at certain powers are preinvex and obtain some inequality for the product of logarithmic preinvex. Mathematics
Jaekeun Park
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On parameterized inequalities for fractional multiplicative integrals
Demonstratio MathematicaIn this article, we present a one-parameter fractional multiplicative integral identity and use it to derive a set of inequalities for multiplicatively ss-convex mappings.
Zhu Wen Sheng +4 more
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Demonstratio MathematicaIn this study, based on two new local fractional integral operators involving generalized Mittag-Leffler kernel, Hermite-Hadamard inequality about these two integral operators for generalized hh-preinvex functions is obtained.
Sun Wenbing, Wan Haiyang
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Adaptive Integration of Convex Functions of One Real Variable
Annales Mathematicae SilesianaeWe present an adaptive method of approximate integration of convex (as well as concave) functions based on a certain refinement of the celebrated Hermite–Hadamard inequality. Numerical experiments are performed and the role of harmonic numbers is shown.
Wąsowicz Szymon
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