LEADER 04765nam 22006015 450 001 9910303448203321 005 20251113175857.0 010 $a981-13-3013-1 024 7 $a10.1007/978-981-13-3013-1 035 $a(CKB)4100000007334851 035 $a(MiAaPQ)EBC5627300 035 $a(DE-He213)978-981-13-3013-1 035 $a(EXLCZ)994100000007334851 100 $a20181231d2018 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAdvances in Mathematical Inequalities and Applications /$fedited by Praveen Agarwal, Silvestru Sever Dragomir, Mohamed Jleli, Bessem Samet 205 $a1st ed. 2018. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Birkhäuser,$d2018. 215 $a1 online resource (349 pages) 225 1 $aTrends in Mathematics,$x2297-024X 311 08$a981-13-3012-3 327 $aChapter 1. Inequalities for the Generalized k-g-Fractional Integrals in Terms of Double Integral Means -- Chapter 2. Fixed Point Approach to Solution Existence of Differential Equations -- Chapter 3. Lyapunov Inequalities for Some Differential Equations with Integral Type Boundary Conditions -- Chapter 4. A New Class of Generalized Convex Functions and Integral Inequalities -- Chapter 5. Redheffer Type Inequalities for the Fox-Wright Functions -- Chapter 6. Relations of the Extended Voigt Function with other Families of Polynomials and Numbers -- Chapter 7. Nonlinear Dynamical Model for DNA -- Chapter 8. A Variety of Nonlinear retarded Integral Inequalities of Gronwall-type and their Applications -- Chapter 9. On the Integral Inequalities for Riemann?Liouville and Conformable Fractional Integrals -- Chapter 10. Weighted Integral Inequalities in Terms of Omega?Fractional Integro-Differentiation -- Chapter 11. On Sherman Method to Deriving Inequalities for Some Classes of Functions Related to Convexity -- Chapter 12. Divisibility of Class Numbers of Quadratic Fields: Qualitative Aspect -- Chapter 13. Some Identities on Derangement and Degenerate Derangement Polynomials -- Chapter 14. Some Perturbed Ostrowski Type Inequalities for Twice Differentiable Functions -- Chapter 15. Comprehensive Inequalities and Equations Specified by the Mittag?Leffler Functions and Fractional Calculus in the Complex Plane -- Chapter 16. Novel Results on Hermite?Hadamard Kind Inequalities for Convex Functions by Means of (k; r)-Fractional Integral Operators -- Chapter 17. A Family of Integral Inequalities on the Interval [1; 1] -- Chapter 18. A Generalization of Cauchy?Bunyakovsky Integral Inequality via Means with Max and Min Values. 330 $aThis book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean values, sums, functions, operators, functionals, integrals and their applications in various branches of mathematics and related sciences; fractional integral inequalities; and weighted type integral inequalities. It also presents their wide applications in biomathematics, boundary value problems, mechanics, queuing models, scattering, and geomechanics in a concise, but easily understandable way that makes the further ramifications and future directions clear. The broad scope and high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers. All the contributing authors are leading international academics, scientists, researchers and scholars. . 410 0$aTrends in Mathematics,$x2297-024X 606 $aFunctions of real variables 606 $aFunctional analysis 606 $aProbabilities 606 $aOperator theory 606 $aReal Functions 606 $aFunctional Analysis 606 $aProbability Theory 606 $aOperator Theory 615 0$aFunctions of real variables. 615 0$aFunctional analysis. 615 0$aProbabilities. 615 0$aOperator theory. 615 14$aReal Functions. 615 24$aFunctional Analysis. 615 24$aProbability Theory. 615 24$aOperator Theory. 676 $a515.26 702 $aAgarwal$b Praveen$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aDragomir$b Silvestru Sever$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aJleli$b Mohamed$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSamet$b Bessem$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910303448203321 996 $aAdvances in Mathematical Inequalities and Applications$91563861 997 $aUNINA