Triangle-like inequalities related to coherence and entanglement negativity
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DOI: 10.1007/s11128-018-2121-5
Abstract: Quantum coherence and entanglement are two key features in quantum mechanics and play important roles in quantum information processing and quantum computation. We provide a general triangle-like inequality satisfied by the $$l_1$$l1-norm measure of coherence… read more here.
Keywords: like inequalities; coherence; triangle like; negativity ... See more keywords
Refinements of Triangle-Like Inequalities in Lie’s Framework
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DOI: 10.1007/s40840-020-00955-2
Abstract: In this note, by using gradients of Gateaux differentiable G -increasing functions we prove some refinements of the following Tam’s triangle-type inequality: $$\begin{aligned} {\mathfrak {t}}_+ ( x + y ) \le {\mathfrak {t}}_+ (x) +… read more here.
Keywords: like inequalities; inequalities lie; triangle like; mathfrak mathfrak ... See more keywords
Densely relaxed pseudomonotone and quasimonotone generalized variational-like inequalities
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DOI: 10.1080/02331934.2020.1719101
Abstract: In this paper, we define the generalized densely relaxed pseudomonotonicity and relaxed quasimonotonicity, and establish the existence of solutions for generalized variational-like inequalities with the above monotonicity notions. The results obtained in this paper improve… read more here.
Keywords: like inequalities; generalized variational; variational like; pseudomonotone quasimonotone ... 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
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
Scalarized solutions of set-valued optimization problems and generalized variational-like inequalities
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DOI: 10.2298/fil1712953o
Abstract: In this paper by using the scalariation method we introduced the concept of relaxed K-preinvex set-valued maps and obtain some equivalence results of them in terms of normal subdifferential. Also, we consider generalized Minty variational-like… read more here.
Keywords: like inequalities; valued optimization; variational like; set valued ... See more keywords
Some families of Jensen-like inequalities with application to information theory
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DOI: 10.3390/e25050752
Abstract: It is well known that the traditional Jensen inequality is proved by lower bounding the given convex function, f(x), by the tangential affine function that passes through the point (E{X},f(E{X})), where E{X} is the expectation… read more here.
Keywords: like inequalities; jensen like; information theory; function ... See more keywords
Trapezium-like Inequalities Involving k-th Order Differentiable Rγ-Convex Functions and Applications
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DOI: 10.3390/sym14030448
Abstract: We introduce the class of Rγ-convex functions and discuss that it relates to some other classes of convexity. We study the class of Rγ-convex functions in the perspective of trapezium-like inequalities, for which we also… read more here.
Keywords: involving order; convex; convex functions; trapezium like ... See more keywords
New Quantum Mercer Estimates of Simpson-Newton-like Inequalities via Convexity
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DOI: 10.3390/sym14091935
Abstract: Recently, developments and extensions of quadrature inequalities in quantum calculus have been extensively studied. As a result, several quantum extensions of Simpson’s and Newton’s estimates are examined in order to explore different directions in quantum… read more here.
Keywords: simpson newton; mercer; new quantum; like inequalities ... See more keywords