Advances in inequalities for special functions by Pietro Cerone

Advances in inequalities for special functions by Pietro Cerone

By Pietro Cerone

This ebook is the 1st in a set of study monographs which are dedicated to offering contemporary learn, improvement and use of Mathematical Inequalities for specified features. all of the papers integrated within the ebook have peen peer-reviewed and canopy more than a few subject matters that come with either survey fabric of formerly released works in addition to new effects. In his presentation on detailed capabilities approximations and limits through imperative illustration, Pietro Cerone utilises the classical Stevensen inequality and boundaries for the Ceby sev practical to procure bounds for a few classical precise services. The method depends on opting for bounds on integrals of goods of capabilities. The recommendations are used to acquire novel and priceless bounds for the Bessel functionality of the 1st sort, the Beta functionality, the Zeta functionality and Mathieu sequence.

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22] P. S. Dragomir, On some inequalities arising from Montgomery’s identity, J. Comput. Anal. , 5(4) (2003), 341-362. [23] P. S. Dragomir, On some inequalities for the expectation and variance, Korean J. Comput. Appl. , 8(2) (2001), 357-380. [24] P. Cerone and C. Lenard, On integral forms of generalised Mathieu series, J. Inequal. Pure Appl. , 4(5) (2003), Art. 100, 1-11. L. Cheng and J. Sun, A note on the perturbed ity, J. Ineq. Pure and Appl. , 3(2) Art. html]. trapezoid inequal(2002). B. Conrey, The Riemann hypothesis, Notices of the AMS (2003), 341–353.

Qi, Integral expressions and inequalities of Mathieu type series, RGMIA Res. Rep. , 6(2) (2003), Article 5. html [46] F. -P. Chen, Notes on double inequalities of Mathieu’s series, RGMIA Res. Rep. , 4(2) (2001), Article 3. Ja. Sonin, O nekotoryh neravenstvah otnosjaˇscihsjak opredelennym integralam, Zap. Imp. Akad. , 6 (1898), 1-54. M. Srivastava, Certain classes of series associated with the Zeta and related functions, Appl. Math. , 141 (2003), 13–49. M. Srivastava, Some rapidly converging series for ζ(2n + 1), Proc.

Imp. Akad. , 6 (1898), 1-54. M. Srivastava, Certain classes of series associated with the Zeta and related functions, Appl. Math. , 141 (2003), 13–49. M. Srivastava, Some rapidly converging series for ζ(2n + 1), Proc. Amer. Math. , 127 (1999), 385–3996. M. Srivastava, Some families of rapidly convergent series representation for the zeta function, Taiwanese J. , 4 (2000), 569–596. M. Srivastava and J. Choi, Series associated with the zeta and related functions, Kluwer Acad. , Dordrecht/Boston/London (2001), pp.

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